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Finding the Third Proportional to 54,038 and 80,841

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Solution

The third proportional to 54,038 and 80,841 is: 120,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038 : 80,841 = 80,841 : x
  2. Step 2: Convert to fraction form
    54,038/80,841 = 80,841/x
  3. Step 3: Cross multiply
    54,038x = 80,841 × 80,841
  4. Step 4: Simplify right side
    54,038x = 6,535,267,281
  5. Step 5: Solve for x
    x = 6,535,267,281/54,038
  6. Step 6: Final answer
    x = 120,938.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.