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Finding the Third Proportional to 114.47 and 155.95

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Solution

The third proportional to 114.47 and 155.95 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 155.95 = 155.95 : x
  2. Step 2: Convert to fraction form
    114.47/155.95 = 155.95/x
  3. Step 3: Cross multiply
    114.47x = 155.95 × 155.95
  4. Step 4: Simplify right side
    114.47x = 24,321.38
  5. Step 5: Solve for x
    x = 24,321.38/114.47
  6. Step 6: Final answer
    x = 212.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.