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Finding the Third Proportional to 56.53 and 124.88

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Solution

The third proportional to 56.53 and 124.88 is: 275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.53 : 124.88 = 124.88 : x
  2. Step 2: Convert to fraction form
    56.53/124.88 = 124.88/x
  3. Step 3: Cross multiply
    56.53x = 124.88 × 124.88
  4. Step 4: Simplify right side
    56.53x = 15,593.77
  5. Step 5: Solve for x
    x = 15,593.77/56.53
  6. Step 6: Final answer
    x = 275.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.