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Finding the Third Proportional to 106,099.50 and 144,180.75

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Solution

The third proportional to 106,099.50 and 144,180.75 is: 195,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,099.50 : 144,180.75 = 144,180.75 : x
  2. Step 2: Convert to fraction form
    106,099.50/144,180.75 = 144,180.75/x
  3. Step 3: Cross multiply
    106,099.50x = 144,180.75 × 144,180.75
  4. Step 4: Simplify right side
    106,099.50x = 20,788,088,670.56
  5. Step 5: Solve for x
    x = 20,788,088,670.56/106,099.50
  6. Step 6: Final answer
    x = 195,930.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.