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Finding the Third Proportional to 100,113 and 149,872.50

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Solution

The third proportional to 100,113 and 149,872.50 is: 224,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,113 : 149,872.50 = 149,872.50 : x
  2. Step 2: Convert to fraction form
    100,113/149,872.50 = 149,872.50/x
  3. Step 3: Cross multiply
    100,113x = 149,872.50 × 149,872.50
  4. Step 4: Simplify right side
    100,113x = 22,461,766,256.25
  5. Step 5: Solve for x
    x = 22,461,766,256.25/100,113
  6. Step 6: Final answer
    x = 224,364.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.