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Finding the Third Proportional to 61,909 and 144,655

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Solution

The third proportional to 61,909 and 144,655 is: 337,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,909 : 144,655 = 144,655 : x
  2. Step 2: Convert to fraction form
    61,909/144,655 = 144,655/x
  3. Step 3: Cross multiply
    61,909x = 144,655 × 144,655
  4. Step 4: Simplify right side
    61,909x = 20,925,069,025
  5. Step 5: Solve for x
    x = 20,925,069,025/61,909
  6. Step 6: Final answer
    x = 337,997.21

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.