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Finding the Third Proportional to 116.75 and 175.13

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Solution

The third proportional to 116.75 and 175.13 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 175.13 = 175.13 : x
  2. Step 2: Convert to fraction form
    116.75/175.13 = 175.13/x
  3. Step 3: Cross multiply
    116.75x = 175.13 × 175.13
  4. Step 4: Simplify right side
    116.75x = 30,670.82
  5. Step 5: Solve for x
    x = 30,670.82/116.75
  6. Step 6: Final answer
    x = 262.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.