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Finding the Third Proportional to 54,182 and 83,399

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Solution

The third proportional to 54,182 and 83,399 is: 128,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,182 : 83,399 = 83,399 : x
  2. Step 2: Convert to fraction form
    54,182/83,399 = 83,399/x
  3. Step 3: Cross multiply
    54,182x = 83,399 × 83,399
  4. Step 4: Simplify right side
    54,182x = 6,955,393,201
  5. Step 5: Solve for x
    x = 6,955,393,201/54,182
  6. Step 6: Final answer
    x = 128,370.92

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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.