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Finding the Third Proportional to 73.13 and 104.13

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Solution

The third proportional to 73.13 and 104.13 is: 148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.13 : 104.13 = 104.13 : x
  2. Step 2: Convert to fraction form
    73.13/104.13 = 104.13/x
  3. Step 3: Cross multiply
    73.13x = 104.13 × 104.13
  4. Step 4: Simplify right side
    73.13x = 10,842.02
  5. Step 5: Solve for x
    x = 10,842.02/73.13
  6. Step 6: Final answer
    x = 148.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.