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Finding the Third Proportional to 54,486 and 83,314

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Solution

The third proportional to 54,486 and 83,314 is: 127,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,486 : 83,314 = 83,314 : x
  2. Step 2: Convert to fraction form
    54,486/83,314 = 83,314/x
  3. Step 3: Cross multiply
    54,486x = 83,314 × 83,314
  4. Step 4: Simplify right side
    54,486x = 6,941,222,596
  5. Step 5: Solve for x
    x = 6,941,222,596/54,486
  6. Step 6: Final answer
    x = 127,394.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.