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Finding the Third Proportional to 83,979 and 119,566

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Solution

The third proportional to 83,979 and 119,566 is: 170,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,979 : 119,566 = 119,566 : x
  2. Step 2: Convert to fraction form
    83,979/119,566 = 119,566/x
  3. Step 3: Cross multiply
    83,979x = 119,566 × 119,566
  4. Step 4: Simplify right side
    83,979x = 14,296,028,356
  5. Step 5: Solve for x
    x = 14,296,028,356/83,979
  6. Step 6: Final answer
    x = 170,233.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.