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Finding the Third Proportional to 54,592 and 86,812

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Solution

The third proportional to 54,592 and 86,812 is: 138,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,592 : 86,812 = 86,812 : x
  2. Step 2: Convert to fraction form
    54,592/86,812 = 86,812/x
  3. Step 3: Cross multiply
    54,592x = 86,812 × 86,812
  4. Step 4: Simplify right side
    54,592x = 7,536,323,344
  5. Step 5: Solve for x
    x = 7,536,323,344/54,592
  6. Step 6: Final answer
    x = 138,048.13

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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.