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Finding the Third Proportional to 104.18 and 123.16

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Solution

The third proportional to 104.18 and 123.16 is: 145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.18 : 123.16 = 123.16 : x
  2. Step 2: Convert to fraction form
    104.18/123.16 = 123.16/x
  3. Step 3: Cross multiply
    104.18x = 123.16 × 123.16
  4. Step 4: Simplify right side
    104.18x = 15,168.66
  5. Step 5: Solve for x
    x = 15,168.66/104.18
  6. Step 6: Final answer
    x = 145.61

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.