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Finding the Third Proportional to 71,737 and 141,637

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Solution

The third proportional to 71,737 and 141,637 is: 279,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,737 : 141,637 = 141,637 : x
  2. Step 2: Convert to fraction form
    71,737/141,637 = 141,637/x
  3. Step 3: Cross multiply
    71,737x = 141,637 × 141,637
  4. Step 4: Simplify right side
    71,737x = 20,061,039,769
  5. Step 5: Solve for x
    x = 20,061,039,769/71,737
  6. Step 6: Final answer
    x = 279,647.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.