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Finding the Third Proportional to 83,683.13 and 125,524.69

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Solution

The third proportional to 83,683.13 and 125,524.69 is: 188,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,683.13 : 125,524.69 = 125,524.69 : x
  2. Step 2: Convert to fraction form
    83,683.13/125,524.69 = 125,524.69/x
  3. Step 3: Cross multiply
    83,683.13x = 125,524.69 × 125,524.69
  4. Step 4: Simplify right side
    83,683.13x = 15,756,447,171.97
  5. Step 5: Solve for x
    x = 15,756,447,171.97/83,683.13
  6. Step 6: Final answer
    x = 188,287.03

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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.