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Finding the Third Proportional to 87,598 and 135,286

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Solution

The third proportional to 87,598 and 135,286 is: 208,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,598 : 135,286 = 135,286 : x
  2. Step 2: Convert to fraction form
    87,598/135,286 = 135,286/x
  3. Step 3: Cross multiply
    87,598x = 135,286 × 135,286
  4. Step 4: Simplify right side
    87,598x = 18,302,301,796
  5. Step 5: Solve for x
    x = 18,302,301,796/87,598
  6. Step 6: Final answer
    x = 208,935.16

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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.