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Finding the Third Proportional to 57,267 and 84,189

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Solution

The third proportional to 57,267 and 84,189 is: 123,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,267 : 84,189 = 84,189 : x
  2. Step 2: Convert to fraction form
    57,267/84,189 = 84,189/x
  3. Step 3: Cross multiply
    57,267x = 84,189 × 84,189
  4. Step 4: Simplify right side
    57,267x = 7,087,787,721
  5. Step 5: Solve for x
    x = 7,087,787,721/57,267
  6. Step 6: Final answer
    x = 123,767.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.