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Finding the Third Proportional to 83.29 and 128.14

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Solution

The third proportional to 83.29 and 128.14 is: 197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.29 : 128.14 = 128.14 : x
  2. Step 2: Convert to fraction form
    83.29/128.14 = 128.14/x
  3. Step 3: Cross multiply
    83.29x = 128.14 × 128.14
  4. Step 4: Simplify right side
    83.29x = 16,421.02
  5. Step 5: Solve for x
    x = 16,421.02/83.29
  6. Step 6: Final answer
    x = 197.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.