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Finding the Third Proportional to 54,045 and 86,337

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Solution

The third proportional to 54,045 and 86,337 is: 137,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,045 : 86,337 = 86,337 : x
  2. Step 2: Convert to fraction form
    54,045/86,337 = 86,337/x
  3. Step 3: Cross multiply
    54,045x = 86,337 × 86,337
  4. Step 4: Simplify right side
    54,045x = 7,454,077,569
  5. Step 5: Solve for x
    x = 7,454,077,569/54,045
  6. Step 6: Final answer
    x = 137,923.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.