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Finding the Third Proportional to 40,282 and 59,189

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Solution

The third proportional to 40,282 and 59,189 is: 86,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,282 : 59,189 = 59,189 : x
  2. Step 2: Convert to fraction form
    40,282/59,189 = 59,189/x
  3. Step 3: Cross multiply
    40,282x = 59,189 × 59,189
  4. Step 4: Simplify right side
    40,282x = 3,503,337,721
  5. Step 5: Solve for x
    x = 3,503,337,721/40,282
  6. Step 6: Final answer
    x = 86,970.30

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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.