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Finding the Third Proportional to 55,650 and 86,181

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Solution

The third proportional to 55,650 and 86,181 is: 133,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,650 : 86,181 = 86,181 : x
  2. Step 2: Convert to fraction form
    55,650/86,181 = 86,181/x
  3. Step 3: Cross multiply
    55,650x = 86,181 × 86,181
  4. Step 4: Simplify right side
    55,650x = 7,427,164,761
  5. Step 5: Solve for x
    x = 7,427,164,761/55,650
  6. Step 6: Final answer
    x = 133,462.08

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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.