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Finding the Third Proportional to 100.94 and 155.72

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Solution

The third proportional to 100.94 and 155.72 is: 240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.94 : 155.72 = 155.72 : x
  2. Step 2: Convert to fraction form
    100.94/155.72 = 155.72/x
  3. Step 3: Cross multiply
    100.94x = 155.72 × 155.72
  4. Step 4: Simplify right side
    100.94x = 24,248.33
  5. Step 5: Solve for x
    x = 24,248.33/100.94
  6. Step 6: Final answer
    x = 240.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.