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Finding the Third Proportional to 40,240 and 59,192

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Solution

The third proportional to 40,240 and 59,192 is: 87,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,240 : 59,192 = 59,192 : x
  2. Step 2: Convert to fraction form
    40,240/59,192 = 59,192/x
  3. Step 3: Cross multiply
    40,240x = 59,192 × 59,192
  4. Step 4: Simplify right side
    40,240x = 3,503,692,864
  5. Step 5: Solve for x
    x = 3,503,692,864/40,240
  6. Step 6: Final answer
    x = 87,069.90

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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.