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Finding the Third Proportional to 78.38 and 119.13

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Solution

The third proportional to 78.38 and 119.13 is: 181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.38 : 119.13 = 119.13 : x
  2. Step 2: Convert to fraction form
    78.38/119.13 = 119.13/x
  3. Step 3: Cross multiply
    78.38x = 119.13 × 119.13
  4. Step 4: Simplify right side
    78.38x = 14,190.77
  5. Step 5: Solve for x
    x = 14,190.77/78.38
  6. Step 6: Final answer
    x = 181.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.