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Finding the Third Proportional to 83,687.34 and 125,713.69

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Solution

The third proportional to 83,687.34 and 125,713.69 is: 188,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,687.34 : 125,713.69 = 125,713.69 : x
  2. Step 2: Convert to fraction form
    83,687.34/125,713.69 = 125,713.69/x
  3. Step 3: Cross multiply
    83,687.34x = 125,713.69 × 125,713.69
  4. Step 4: Simplify right side
    83,687.34x = 15,803,931,224.85
  5. Step 5: Solve for x
    x = 15,803,931,224.85/83,687.34
  6. Step 6: Final answer
    x = 188,844.94

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