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Finding the Third Proportional to 51.75 and 124.13

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Solution

The third proportional to 51.75 and 124.13 is: 297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.75 : 124.13 = 124.13 : x
  2. Step 2: Convert to fraction form
    51.75/124.13 = 124.13/x
  3. Step 3: Cross multiply
    51.75x = 124.13 × 124.13
  4. Step 4: Simplify right side
    51.75x = 15,407.02
  5. Step 5: Solve for x
    x = 15,407.02/51.75
  6. Step 6: Final answer
    x = 297.72

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.