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Finding the Third Proportional to 83.43 and 128.30

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Solution

The third proportional to 83.43 and 128.30 is: 197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.43 : 128.30 = 128.30 : x
  2. Step 2: Convert to fraction form
    83.43/128.30 = 128.30/x
  3. Step 3: Cross multiply
    83.43x = 128.30 × 128.30
  4. Step 4: Simplify right side
    83.43x = 16,461.59
  5. Step 5: Solve for x
    x = 16,461.59/83.43
  6. Step 6: Final answer
    x = 197.32

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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.