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Finding the Third Proportional to 101.48 and 153.52

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Solution

The third proportional to 101.48 and 153.52 is: 232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.48 : 153.52 = 153.52 : x
  2. Step 2: Convert to fraction form
    101.48/153.52 = 153.52/x
  3. Step 3: Cross multiply
    101.48x = 153.52 × 153.52
  4. Step 4: Simplify right side
    101.48x = 23,567.05
  5. Step 5: Solve for x
    x = 23,567.05/101.48
  6. Step 6: Final answer
    x = 232.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.