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Finding the Third Proportional to 116.75 and 124.82

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Solution

The third proportional to 116.75 and 124.82 is: 133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 124.82 = 124.82 : x
  2. Step 2: Convert to fraction form
    116.75/124.82 = 124.82/x
  3. Step 3: Cross multiply
    116.75x = 124.82 × 124.82
  4. Step 4: Simplify right side
    116.75x = 15,580.60
  5. Step 5: Solve for x
    x = 15,580.60/116.75
  6. Step 6: Final answer
    x = 133.45

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.