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Finding the Third Proportional to 87,026 and 133,999

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Solution

The third proportional to 87,026 and 133,999 is: 206,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,026 : 133,999 = 133,999 : x
  2. Step 2: Convert to fraction form
    87,026/133,999 = 133,999/x
  3. Step 3: Cross multiply
    87,026x = 133,999 × 133,999
  4. Step 4: Simplify right side
    87,026x = 17,955,732,001
  5. Step 5: Solve for x
    x = 17,955,732,001/87,026
  6. Step 6: Final answer
    x = 206,326.06

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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.