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Finding the Third Proportional to 40,188 and 59,109

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Solution

The third proportional to 40,188 and 59,109 is: 86,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,188 : 59,109 = 59,109 : x
  2. Step 2: Convert to fraction form
    40,188/59,109 = 59,109/x
  3. Step 3: Cross multiply
    40,188x = 59,109 × 59,109
  4. Step 4: Simplify right side
    40,188x = 3,493,873,881
  5. Step 5: Solve for x
    x = 3,493,873,881/40,188
  6. Step 6: Final answer
    x = 86,938.24

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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.