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Finding the Third Proportional to 40,150 and 59,645

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Solution

The third proportional to 40,150 and 59,645 is: 88,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,150 : 59,645 = 59,645 : x
  2. Step 2: Convert to fraction form
    40,150/59,645 = 59,645/x
  3. Step 3: Cross multiply
    40,150x = 59,645 × 59,645
  4. Step 4: Simplify right side
    40,150x = 3,557,526,025
  5. Step 5: Solve for x
    x = 3,557,526,025/40,150
  6. Step 6: Final answer
    x = 88,605.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.