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Finding the Third Proportional to 83,193.75 and 124,750.13

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Solution

The third proportional to 83,193.75 and 124,750.13 is: 187,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193.75 : 124,750.13 = 124,750.13 : x
  2. Step 2: Convert to fraction form
    83,193.75/124,750.13 = 124,750.13/x
  3. Step 3: Cross multiply
    83,193.75x = 124,750.13 × 124,750.13
  4. Step 4: Simplify right side
    83,193.75x = 15,562,593,687.52
  5. Step 5: Solve for x
    x = 15,562,593,687.52/83,193.75
  6. Step 6: Final answer
    x = 187,064.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.