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Finding the Third Proportional to 124.88 and 234.56

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Solution

The third proportional to 124.88 and 234.56 is: 440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.88 : 234.56 = 234.56 : x
  2. Step 2: Convert to fraction form
    124.88/234.56 = 234.56/x
  3. Step 3: Cross multiply
    124.88x = 234.56 × 234.56
  4. Step 4: Simplify right side
    124.88x = 55,019.57
  5. Step 5: Solve for x
    x = 55,019.57/124.88
  6. Step 6: Final answer
    x = 440.60

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.