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Finding the Third Proportional to 55,567 and 86,171

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Solution

The third proportional to 55,567 and 86,171 is: 133,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,567 : 86,171 = 86,171 : x
  2. Step 2: Convert to fraction form
    55,567/86,171 = 86,171/x
  3. Step 3: Cross multiply
    55,567x = 86,171 × 86,171
  4. Step 4: Simplify right side
    55,567x = 7,425,441,241
  5. Step 5: Solve for x
    x = 7,425,441,241/55,567
  6. Step 6: Final answer
    x = 133,630.41

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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.