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Finding the Third Proportional to 61.38 and 130.36

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Solution

The third proportional to 61.38 and 130.36 is: 276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.38 : 130.36 = 130.36 : x
  2. Step 2: Convert to fraction form
    61.38/130.36 = 130.36/x
  3. Step 3: Cross multiply
    61.38x = 130.36 × 130.36
  4. Step 4: Simplify right side
    61.38x = 16,993.57
  5. Step 5: Solve for x
    x = 16,993.57/61.38
  6. Step 6: Final answer
    x = 276.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.