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Finding the Third Proportional to 71,917.88 and 108,874.13

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Solution

The third proportional to 71,917.88 and 108,874.13 is: 164,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,917.88 : 108,874.13 = 108,874.13 : x
  2. Step 2: Convert to fraction form
    71,917.88/108,874.13 = 108,874.13/x
  3. Step 3: Cross multiply
    71,917.88x = 108,874.13 × 108,874.13
  4. Step 4: Simplify right side
    71,917.88x = 11,853,575,094.52
  5. Step 5: Solve for x
    x = 11,853,575,094.52/71,917.88
  6. Step 6: Final answer
    x = 164,820.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.