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Finding the Third Proportional to 83,001 and 131,967

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Solution

The third proportional to 83,001 and 131,967 is: 209,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,001 : 131,967 = 131,967 : x
  2. Step 2: Convert to fraction form
    83,001/131,967 = 131,967/x
  3. Step 3: Cross multiply
    83,001x = 131,967 × 131,967
  4. Step 4: Simplify right side
    83,001x = 17,415,289,089
  5. Step 5: Solve for x
    x = 17,415,289,089/83,001
  6. Step 6: Final answer
    x = 209,820.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.