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Finding the Third Proportional to 130.13 and 175.31

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Solution

The third proportional to 130.13 and 175.31 is: 236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.13 : 175.31 = 175.31 : x
  2. Step 2: Convert to fraction form
    130.13/175.31 = 175.31/x
  3. Step 3: Cross multiply
    130.13x = 175.31 × 175.31
  4. Step 4: Simplify right side
    130.13x = 30,734.47
  5. Step 5: Solve for x
    x = 30,734.47/130.13
  6. Step 6: Final answer
    x = 236.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.