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Finding the Third Proportional to 54,862 and 83,061

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Solution

The third proportional to 54,862 and 83,061 is: 125,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,862 : 83,061 = 83,061 : x
  2. Step 2: Convert to fraction form
    54,862/83,061 = 83,061/x
  3. Step 3: Cross multiply
    54,862x = 83,061 × 83,061
  4. Step 4: Simplify right side
    54,862x = 6,899,129,721
  5. Step 5: Solve for x
    x = 6,899,129,721/54,862
  6. Step 6: Final answer
    x = 125,754.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.