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Finding the Third Proportional to 125.88 and 176.94

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Solution

The third proportional to 125.88 and 176.94 is: 248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.88 : 176.94 = 176.94 : x
  2. Step 2: Convert to fraction form
    125.88/176.94 = 176.94/x
  3. Step 3: Cross multiply
    125.88x = 176.94 × 176.94
  4. Step 4: Simplify right side
    125.88x = 31,306.88
  5. Step 5: Solve for x
    x = 31,306.88/125.88
  6. Step 6: Final answer
    x = 248.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.