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Finding the Third Proportional to 101.88 and 114.88

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Solution

The third proportional to 101.88 and 114.88 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.88 : 114.88 = 114.88 : x
  2. Step 2: Convert to fraction form
    101.88/114.88 = 114.88/x
  3. Step 3: Cross multiply
    101.88x = 114.88 × 114.88
  4. Step 4: Simplify right side
    101.88x = 13,196.27
  5. Step 5: Solve for x
    x = 13,196.27/101.88
  6. Step 6: Final answer
    x = 129.53

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.