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Finding the Third Proportional to 58.56 and 124.75

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Solution

The third proportional to 58.56 and 124.75 is: 265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.56 : 124.75 = 124.75 : x
  2. Step 2: Convert to fraction form
    58.56/124.75 = 124.75/x
  3. Step 3: Cross multiply
    58.56x = 124.75 × 124.75
  4. Step 4: Simplify right side
    58.56x = 15,562.56
  5. Step 5: Solve for x
    x = 15,562.56/58.56
  6. Step 6: Final answer
    x = 265.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.