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Finding the Third Proportional to 67.08 and 100.20

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Solution

The third proportional to 67.08 and 100.20 is: 149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.08 : 100.20 = 100.20 : x
  2. Step 2: Convert to fraction form
    67.08/100.20 = 100.20/x
  3. Step 3: Cross multiply
    67.08x = 100.20 × 100.20
  4. Step 4: Simplify right side
    67.08x = 10,039.10
  5. Step 5: Solve for x
    x = 10,039.10/67.08
  6. Step 6: Final answer
    x = 149.66

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