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Finding the Third Proportional to 68,100.75 and 144,312.75

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Solution

The third proportional to 68,100.75 and 144,312.75 is: 305,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,100.75 : 144,312.75 = 144,312.75 : x
  2. Step 2: Convert to fraction form
    68,100.75/144,312.75 = 144,312.75/x
  3. Step 3: Cross multiply
    68,100.75x = 144,312.75 × 144,312.75
  4. Step 4: Simplify right side
    68,100.75x = 20,826,169,812.56
  5. Step 5: Solve for x
    x = 20,826,169,812.56/68,100.75
  6. Step 6: Final answer
    x = 305,814.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.