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Finding the Third Proportional to 40,241 and 59,127

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Solution

The third proportional to 40,241 and 59,127 is: 86,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,241 : 59,127 = 59,127 : x
  2. Step 2: Convert to fraction form
    40,241/59,127 = 59,127/x
  3. Step 3: Cross multiply
    40,241x = 59,127 × 59,127
  4. Step 4: Simplify right side
    40,241x = 3,496,002,129
  5. Step 5: Solve for x
    x = 3,496,002,129/40,241
  6. Step 6: Final answer
    x = 86,876.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.