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Finding the Third Proportional to 39,403 and 59,144

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Solution

The third proportional to 39,403 and 59,144 is: 88,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,403 : 59,144 = 59,144 : x
  2. Step 2: Convert to fraction form
    39,403/59,144 = 59,144/x
  3. Step 3: Cross multiply
    39,403x = 59,144 × 59,144
  4. Step 4: Simplify right side
    39,403x = 3,498,012,736
  5. Step 5: Solve for x
    x = 3,498,012,736/39,403
  6. Step 6: Final answer
    x = 88,775.29

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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.