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Finding the Third Proportional to 100.91 and 158.58

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Solution

The third proportional to 100.91 and 158.58 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.91 : 158.58 = 158.58 : x
  2. Step 2: Convert to fraction form
    100.91/158.58 = 158.58/x
  3. Step 3: Cross multiply
    100.91x = 158.58 × 158.58
  4. Step 4: Simplify right side
    100.91x = 25,147.25
  5. Step 5: Solve for x
    x = 25,147.25/100.91
  6. Step 6: Final answer
    x = 249.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.