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Finding the Third Proportional to 54,586 and 81,541

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Solution

The third proportional to 54,586 and 81,541 is: 121,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,586 : 81,541 = 81,541 : x
  2. Step 2: Convert to fraction form
    54,586/81,541 = 81,541/x
  3. Step 3: Cross multiply
    54,586x = 81,541 × 81,541
  4. Step 4: Simplify right side
    54,586x = 6,648,934,681
  5. Step 5: Solve for x
    x = 6,648,934,681/54,586
  6. Step 6: Final answer
    x = 121,806.59

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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.