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Finding the Third Proportional to 125,930 and 176,055

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Solution

The third proportional to 125,930 and 176,055 is: 246,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,930 : 176,055 = 176,055 : x
  2. Step 2: Convert to fraction form
    125,930/176,055 = 176,055/x
  3. Step 3: Cross multiply
    125,930x = 176,055 × 176,055
  4. Step 4: Simplify right side
    125,930x = 30,995,363,025
  5. Step 5: Solve for x
    x = 30,995,363,025/125,930
  6. Step 6: Final answer
    x = 246,131.68

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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.