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Finding the Third Proportional to 91.02 and 144.65

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Solution

The third proportional to 91.02 and 144.65 is: 229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.02 : 144.65 = 144.65 : x
  2. Step 2: Convert to fraction form
    91.02/144.65 = 144.65/x
  3. Step 3: Cross multiply
    91.02x = 144.65 × 144.65
  4. Step 4: Simplify right side
    91.02x = 20,923.74
  5. Step 5: Solve for x
    x = 20,923.74/91.02
  6. Step 6: Final answer
    x = 229.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.