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Finding the Third Proportional to 87,335 and 133,548

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Solution

The third proportional to 87,335 and 133,548 is: 204,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,335 : 133,548 = 133,548 : x
  2. Step 2: Convert to fraction form
    87,335/133,548 = 133,548/x
  3. Step 3: Cross multiply
    87,335x = 133,548 × 133,548
  4. Step 4: Simplify right side
    87,335x = 17,835,068,304
  5. Step 5: Solve for x
    x = 17,835,068,304/87,335
  6. Step 6: Final answer
    x = 204,214.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.