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Finding the Third Proportional to 107.26 and 147.13

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Solution

The third proportional to 107.26 and 147.13 is: 201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 147.13 = 147.13 : x
  2. Step 2: Convert to fraction form
    107.26/147.13 = 147.13/x
  3. Step 3: Cross multiply
    107.26x = 147.13 × 147.13
  4. Step 4: Simplify right side
    107.26x = 21,646.92
  5. Step 5: Solve for x
    x = 21,646.92/107.26
  6. Step 6: Final answer
    x = 201.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.