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Finding the Third Proportional to 71,957 and 100,902

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Solution

The third proportional to 71,957 and 100,902 is: 141,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,957 : 100,902 = 100,902 : x
  2. Step 2: Convert to fraction form
    71,957/100,902 = 100,902/x
  3. Step 3: Cross multiply
    71,957x = 100,902 × 100,902
  4. Step 4: Simplify right side
    71,957x = 10,181,213,604
  5. Step 5: Solve for x
    x = 10,181,213,604/71,957
  6. Step 6: Final answer
    x = 141,490.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.