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Finding the Third Proportional to 83,656 and 119,249

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Solution

The third proportional to 83,656 and 119,249 is: 169,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,656 : 119,249 = 119,249 : x
  2. Step 2: Convert to fraction form
    83,656/119,249 = 119,249/x
  3. Step 3: Cross multiply
    83,656x = 119,249 × 119,249
  4. Step 4: Simplify right side
    83,656x = 14,220,324,001
  5. Step 5: Solve for x
    x = 14,220,324,001/83,656
  6. Step 6: Final answer
    x = 169,985.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.