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Finding the Third Proportional to 71,427 and 155,553

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Solution

The third proportional to 71,427 and 155,553 is: 338,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,427 : 155,553 = 155,553 : x
  2. Step 2: Convert to fraction form
    71,427/155,553 = 155,553/x
  3. Step 3: Cross multiply
    71,427x = 155,553 × 155,553
  4. Step 4: Simplify right side
    71,427x = 24,196,735,809
  5. Step 5: Solve for x
    x = 24,196,735,809/71,427
  6. Step 6: Final answer
    x = 338,761.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.