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Finding the Third Proportional to 125,976 and 176,123

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Solution

The third proportional to 125,976 and 176,123 is: 246,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,976 : 176,123 = 176,123 : x
  2. Step 2: Convert to fraction form
    125,976/176,123 = 176,123/x
  3. Step 3: Cross multiply
    125,976x = 176,123 × 176,123
  4. Step 4: Simplify right side
    125,976x = 31,019,311,129
  5. Step 5: Solve for x
    x = 31,019,311,129/125,976
  6. Step 6: Final answer
    x = 246,231.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.