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Finding the Third Proportional to 71,708 and 111,398

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Solution

The third proportional to 71,708 and 111,398 is: 173,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,708 : 111,398 = 111,398 : x
  2. Step 2: Convert to fraction form
    71,708/111,398 = 111,398/x
  3. Step 3: Cross multiply
    71,708x = 111,398 × 111,398
  4. Step 4: Simplify right side
    71,708x = 12,409,514,404
  5. Step 5: Solve for x
    x = 12,409,514,404/71,708
  6. Step 6: Final answer
    x = 173,056.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.