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Finding the Third Proportional to 83,890.13 and 125,526.38

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Solution

The third proportional to 83,890.13 and 125,526.38 is: 187,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,890.13 : 125,526.38 = 125,526.38 : x
  2. Step 2: Convert to fraction form
    83,890.13/125,526.38 = 125,526.38/x
  3. Step 3: Cross multiply
    83,890.13x = 125,526.38 × 125,526.38
  4. Step 4: Simplify right side
    83,890.13x = 15,756,870,820.64
  5. Step 5: Solve for x
    x = 15,756,870,820.64/83,890.13
  6. Step 6: Final answer
    x = 187,827.48

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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.