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Finding the Third Proportional to 71,917.56 and 107,876.34

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Solution

The third proportional to 71,917.56 and 107,876.34 is: 161,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,917.56 : 107,876.34 = 107,876.34 : x
  2. Step 2: Convert to fraction form
    71,917.56/107,876.34 = 107,876.34/x
  3. Step 3: Cross multiply
    71,917.56x = 107,876.34 × 107,876.34
  4. Step 4: Simplify right side
    71,917.56x = 11,637,304,276.69
  5. Step 5: Solve for x
    x = 11,637,304,276.69/71,917.56
  6. Step 6: Final answer
    x = 161,814.51

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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.