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Finding the Third Proportional to 100.62 and 150.29

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Solution

The third proportional to 100.62 and 150.29 is: 224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.62 : 150.29 = 150.29 : x
  2. Step 2: Convert to fraction form
    100.62/150.29 = 150.29/x
  3. Step 3: Cross multiply
    100.62x = 150.29 × 150.29
  4. Step 4: Simplify right side
    100.62x = 22,587.98
  5. Step 5: Solve for x
    x = 22,587.98/100.62
  6. Step 6: Final answer
    x = 224.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.