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Finding the Third Proportional to 124.56 and 176.19

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Solution

The third proportional to 124.56 and 176.19 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.56 : 176.19 = 176.19 : x
  2. Step 2: Convert to fraction form
    124.56/176.19 = 176.19/x
  3. Step 3: Cross multiply
    124.56x = 176.19 × 176.19
  4. Step 4: Simplify right side
    124.56x = 31,041.35
  5. Step 5: Solve for x
    x = 31,041.35/124.56
  6. Step 6: Final answer
    x = 249.21

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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.