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Finding the Third Proportional to 97.13 and 175.69

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Solution

The third proportional to 97.13 and 175.69 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.13 : 175.69 = 175.69 : x
  2. Step 2: Convert to fraction form
    97.13/175.69 = 175.69/x
  3. Step 3: Cross multiply
    97.13x = 175.69 × 175.69
  4. Step 4: Simplify right side
    97.13x = 30,866.10
  5. Step 5: Solve for x
    x = 30,866.10/97.13
  6. Step 6: Final answer
    x = 317.80

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.