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Finding the Third Proportional to 40,249 and 59,139

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Solution

The third proportional to 40,249 and 59,139 is: 86,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,249 : 59,139 = 59,139 : x
  2. Step 2: Convert to fraction form
    40,249/59,139 = 59,139/x
  3. Step 3: Cross multiply
    40,249x = 59,139 × 59,139
  4. Step 4: Simplify right side
    40,249x = 3,497,421,321
  5. Step 5: Solve for x
    x = 3,497,421,321/40,249
  6. Step 6: Final answer
    x = 86,894.61

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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.