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Finding the Third Proportional to 125.84 and 153.69

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Solution

The third proportional to 125.84 and 153.69 is: 187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.84 : 153.69 = 153.69 : x
  2. Step 2: Convert to fraction form
    125.84/153.69 = 153.69/x
  3. Step 3: Cross multiply
    125.84x = 153.69 × 153.69
  4. Step 4: Simplify right side
    125.84x = 23,619.85
  5. Step 5: Solve for x
    x = 23,619.85/125.84
  6. Step 6: Final answer
    x = 187.69

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.