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Finding the Third Proportional to 83.06 and 97.13

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Solution

The third proportional to 83.06 and 97.13 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 97.13 = 97.13 : x
  2. Step 2: Convert to fraction form
    83.06/97.13 = 97.13/x
  3. Step 3: Cross multiply
    83.06x = 97.13 × 97.13
  4. Step 4: Simplify right side
    83.06x = 9,433.27
  5. Step 5: Solve for x
    x = 9,433.27/83.06
  6. Step 6: Final answer
    x = 113.57

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.