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Finding the Third Proportional to 40,298 and 59,151

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Solution

The third proportional to 40,298 and 59,151 is: 86,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,298 : 59,151 = 59,151 : x
  2. Step 2: Convert to fraction form
    40,298/59,151 = 59,151/x
  3. Step 3: Cross multiply
    40,298x = 59,151 × 59,151
  4. Step 4: Simplify right side
    40,298x = 3,498,840,801
  5. Step 5: Solve for x
    x = 3,498,840,801/40,298
  6. Step 6: Final answer
    x = 86,824.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.