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Finding the Third Proportional to 125,761.50 and 186,933.38

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Solution

The third proportional to 125,761.50 and 186,933.38 is: 277,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,761.50 : 186,933.38 = 186,933.38 : x
  2. Step 2: Convert to fraction form
    125,761.50/186,933.38 = 186,933.38/x
  3. Step 3: Cross multiply
    125,761.50x = 186,933.38 × 186,933.38
  4. Step 4: Simplify right side
    125,761.50x = 34,944,086,688.89
  5. Step 5: Solve for x
    x = 34,944,086,688.89/125,761.50
  6. Step 6: Final answer
    x = 277,859.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.