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Finding the Third Proportional to 100.88 and 152.81

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Solution

The third proportional to 100.88 and 152.81 is: 231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.88 : 152.81 = 152.81 : x
  2. Step 2: Convert to fraction form
    100.88/152.81 = 152.81/x
  3. Step 3: Cross multiply
    100.88x = 152.81 × 152.81
  4. Step 4: Simplify right side
    100.88x = 23,351.66
  5. Step 5: Solve for x
    x = 23,351.66/100.88
  6. Step 6: Final answer
    x = 231.49

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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.