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Finding the Third Proportional to 83,568.38 and 125,372.81

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Solution

The third proportional to 83,568.38 and 125,372.81 is: 188,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568.38 : 125,372.81 = 125,372.81 : x
  2. Step 2: Convert to fraction form
    83,568.38/125,372.81 = 125,372.81/x
  3. Step 3: Cross multiply
    83,568.38x = 125,372.81 × 125,372.81
  4. Step 4: Simplify right side
    83,568.38x = 15,718,342,114.16
  5. Step 5: Solve for x
    x = 15,718,342,114.16/83,568.38
  6. Step 6: Final answer
    x = 188,089.60

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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.