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Finding the Third Proportional to 82,891 and 127,482

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Solution

The third proportional to 82,891 and 127,482 is: 196,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,891 : 127,482 = 127,482 : x
  2. Step 2: Convert to fraction form
    82,891/127,482 = 127,482/x
  3. Step 3: Cross multiply
    82,891x = 127,482 × 127,482
  4. Step 4: Simplify right side
    82,891x = 16,251,660,324
  5. Step 5: Solve for x
    x = 16,251,660,324/82,891
  6. Step 6: Final answer
    x = 196,060.61

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