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Finding the Third Proportional to 71,177.06 and 107,231.34

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Solution

The third proportional to 71,177.06 and 107,231.34 is: 161,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,177.06 : 107,231.34 = 107,231.34 : x
  2. Step 2: Convert to fraction form
    71,177.06/107,231.34 = 107,231.34/x
  3. Step 3: Cross multiply
    71,177.06x = 107,231.34 × 107,231.34
  4. Step 4: Simplify right side
    71,177.06x = 11,498,561,082.43
  5. Step 5: Solve for x
    x = 11,498,561,082.43/71,177.06
  6. Step 6: Final answer
    x = 161,548.69

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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.