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Finding the Third Proportional to 54,612 and 81,576

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Solution

The third proportional to 54,612 and 81,576 is: 121,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,612 : 81,576 = 81,576 : x
  2. Step 2: Convert to fraction form
    54,612/81,576 = 81,576/x
  3. Step 3: Cross multiply
    54,612x = 81,576 × 81,576
  4. Step 4: Simplify right side
    54,612x = 6,654,643,776
  5. Step 5: Solve for x
    x = 6,654,643,776/54,612
  6. Step 6: Final answer
    x = 121,853.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.