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Finding the Third Proportional to 83,726.50 and 125,604.75

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Solution

The third proportional to 83,726.50 and 125,604.75 is: 188,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,726.50 : 125,604.75 = 125,604.75 : x
  2. Step 2: Convert to fraction form
    83,726.50/125,604.75 = 125,604.75/x
  3. Step 3: Cross multiply
    83,726.50x = 125,604.75 × 125,604.75
  4. Step 4: Simplify right side
    83,726.50x = 15,776,553,222.56
  5. Step 5: Solve for x
    x = 15,776,553,222.56/83,726.50
  6. Step 6: Final answer
    x = 188,429.63

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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.