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Finding the Third Proportional to 71,957 and 152,683

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Solution

The third proportional to 71,957 and 152,683 is: 323,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,957 : 152,683 = 152,683 : x
  2. Step 2: Convert to fraction form
    71,957/152,683 = 152,683/x
  3. Step 3: Cross multiply
    71,957x = 152,683 × 152,683
  4. Step 4: Simplify right side
    71,957x = 23,312,098,489
  5. Step 5: Solve for x
    x = 23,312,098,489/71,957
  6. Step 6: Final answer
    x = 323,972.63

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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.