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Finding the Third Proportional to 100.55 and 149.55

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Solution

The third proportional to 100.55 and 149.55 is: 222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.55 : 149.55 = 149.55 : x
  2. Step 2: Convert to fraction form
    100.55/149.55 = 149.55/x
  3. Step 3: Cross multiply
    100.55x = 149.55 × 149.55
  4. Step 4: Simplify right side
    100.55x = 22,366.60
  5. Step 5: Solve for x
    x = 22,366.60/100.55
  6. Step 6: Final answer
    x = 222.45

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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.