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Finding the Third Proportional to 71,093 and 106,531

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Solution

The third proportional to 71,093 and 106,531 is: 159,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,093 : 106,531 = 106,531 : x
  2. Step 2: Convert to fraction form
    71,093/106,531 = 106,531/x
  3. Step 3: Cross multiply
    71,093x = 106,531 × 106,531
  4. Step 4: Simplify right side
    71,093x = 11,348,853,961
  5. Step 5: Solve for x
    x = 11,348,853,961/71,093
  6. Step 6: Final answer
    x = 159,633.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.