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Finding the Third Proportional to 71,668 and 97,292

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Solution

The third proportional to 71,668 and 97,292 is: 132,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,668 : 97,292 = 97,292 : x
  2. Step 2: Convert to fraction form
    71,668/97,292 = 97,292/x
  3. Step 3: Cross multiply
    71,668x = 97,292 × 97,292
  4. Step 4: Simplify right side
    71,668x = 9,465,733,264
  5. Step 5: Solve for x
    x = 9,465,733,264/71,668
  6. Step 6: Final answer
    x = 132,077.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.