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Finding the Third Proportional to 87,474.94 and 135,078.47

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Solution

The third proportional to 87,474.94 and 135,078.47 is: 208,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,474.94 : 135,078.47 = 135,078.47 : x
  2. Step 2: Convert to fraction form
    87,474.94/135,078.47 = 135,078.47/x
  3. Step 3: Cross multiply
    87,474.94x = 135,078.47 × 135,078.47
  4. Step 4: Simplify right side
    87,474.94x = 18,246,192,719.84
  5. Step 5: Solve for x
    x = 18,246,192,719.84/87,474.94
  6. Step 6: Final answer
    x = 208,587.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.