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Finding the Third Proportional to 87,016 and 133,984

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Solution

The third proportional to 87,016 and 133,984 is: 206,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,016 : 133,984 = 133,984 : x
  2. Step 2: Convert to fraction form
    87,016/133,984 = 133,984/x
  3. Step 3: Cross multiply
    87,016x = 133,984 × 133,984
  4. Step 4: Simplify right side
    87,016x = 17,951,712,256
  5. Step 5: Solve for x
    x = 17,951,712,256/87,016
  6. Step 6: Final answer
    x = 206,303.58

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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.