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Finding the Third Proportional to 54,606 and 87,061

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Solution

The third proportional to 54,606 and 87,061 is: 138,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,606 : 87,061 = 87,061 : x
  2. Step 2: Convert to fraction form
    54,606/87,061 = 87,061/x
  3. Step 3: Cross multiply
    54,606x = 87,061 × 87,061
  4. Step 4: Simplify right side
    54,606x = 7,579,617,721
  5. Step 5: Solve for x
    x = 7,579,617,721/54,606
  6. Step 6: Final answer
    x = 138,805.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.