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Finding the Third Proportional to 104.41 and 148.29

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Solution

The third proportional to 104.41 and 148.29 is: 210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.41 : 148.29 = 148.29 : x
  2. Step 2: Convert to fraction form
    104.41/148.29 = 148.29/x
  3. Step 3: Cross multiply
    104.41x = 148.29 × 148.29
  4. Step 4: Simplify right side
    104.41x = 21,989.65
  5. Step 5: Solve for x
    x = 21,989.65/104.41
  6. Step 6: Final answer
    x = 210.60

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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.