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Finding the Third Proportional to 87,494 and 135,735

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Solution

The third proportional to 87,494 and 135,735 is: 210,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,494 : 135,735 = 135,735 : x
  2. Step 2: Convert to fraction form
    87,494/135,735 = 135,735/x
  3. Step 3: Cross multiply
    87,494x = 135,735 × 135,735
  4. Step 4: Simplify right side
    87,494x = 18,423,990,225
  5. Step 5: Solve for x
    x = 18,423,990,225/87,494
  6. Step 6: Final answer
    x = 210,574.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.