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Finding the Third Proportional to 71,675 and 141,586

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Solution

The third proportional to 71,675 and 141,586 is: 279,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,675 : 141,586 = 141,586 : x
  2. Step 2: Convert to fraction form
    71,675/141,586 = 141,586/x
  3. Step 3: Cross multiply
    71,675x = 141,586 × 141,586
  4. Step 4: Simplify right side
    71,675x = 20,046,595,396
  5. Step 5: Solve for x
    x = 20,046,595,396/71,675
  6. Step 6: Final answer
    x = 279,687.41

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.