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Finding the Third Proportional to 84.80 and 127.83

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Solution

The third proportional to 84.80 and 127.83 is: 192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.80 : 127.83 = 127.83 : x
  2. Step 2: Convert to fraction form
    84.80/127.83 = 127.83/x
  3. Step 3: Cross multiply
    84.80x = 127.83 × 127.83
  4. Step 4: Simplify right side
    84.80x = 16,340.03
  5. Step 5: Solve for x
    x = 16,340.03/84.80
  6. Step 6: Final answer
    x = 192.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.