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Finding the Third Proportional to 55,614 and 86,186

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Solution

The third proportional to 55,614 and 86,186 is: 133,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,614 : 86,186 = 86,186 : x
  2. Step 2: Convert to fraction form
    55,614/86,186 = 86,186/x
  3. Step 3: Cross multiply
    55,614x = 86,186 × 86,186
  4. Step 4: Simplify right side
    55,614x = 7,428,026,596
  5. Step 5: Solve for x
    x = 7,428,026,596/55,614
  6. Step 6: Final answer
    x = 133,563.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.