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Finding the Third Proportional to 83,266.50 and 122,694

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Solution

The third proportional to 83,266.50 and 122,694 is: 180,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266.50 : 122,694 = 122,694 : x
  2. Step 2: Convert to fraction form
    83,266.50/122,694 = 122,694/x
  3. Step 3: Cross multiply
    83,266.50x = 122,694 × 122,694
  4. Step 4: Simplify right side
    83,266.50x = 15,053,817,636
  5. Step 5: Solve for x
    x = 15,053,817,636/83,266.50
  6. Step 6: Final answer
    x = 180,790.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.