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Finding the Third Proportional to 39,412 and 59,127

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Solution

The third proportional to 39,412 and 59,127 is: 88,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412 : 59,127 = 59,127 : x
  2. Step 2: Convert to fraction form
    39,412/59,127 = 59,127/x
  3. Step 3: Cross multiply
    39,412x = 59,127 × 59,127
  4. Step 4: Simplify right side
    39,412x = 3,496,002,129
  5. Step 5: Solve for x
    x = 3,496,002,129/39,412
  6. Step 6: Final answer
    x = 88,704.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.