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Finding the Third Proportional to 54,782 and 87,093

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Solution

The third proportional to 54,782 and 87,093 is: 138,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782 : 87,093 = 87,093 : x
  2. Step 2: Convert to fraction form
    54,782/87,093 = 87,093/x
  3. Step 3: Cross multiply
    54,782x = 87,093 × 87,093
  4. Step 4: Simplify right side
    54,782x = 7,585,190,649
  5. Step 5: Solve for x
    x = 7,585,190,649/54,782
  6. Step 6: Final answer
    x = 138,461.37

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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.