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Finding the Third Proportional to 115.07 and 155.46

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Solution

The third proportional to 115.07 and 155.46 is: 210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.07 : 155.46 = 155.46 : x
  2. Step 2: Convert to fraction form
    115.07/155.46 = 155.46/x
  3. Step 3: Cross multiply
    115.07x = 155.46 × 155.46
  4. Step 4: Simplify right side
    115.07x = 24,168.10
  5. Step 5: Solve for x
    x = 24,168.10/115.07
  6. Step 6: Final answer
    x = 210.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.