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Finding the Third Proportional to 120.38 and 160.13

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Solution

The third proportional to 120.38 and 160.13 is: 213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 160.13 = 160.13 : x
  2. Step 2: Convert to fraction form
    120.38/160.13 = 160.13/x
  3. Step 3: Cross multiply
    120.38x = 160.13 × 160.13
  4. Step 4: Simplify right side
    120.38x = 25,640.02
  5. Step 5: Solve for x
    x = 25,640.02/120.38
  6. Step 6: Final answer
    x = 213.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.