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Finding the Third Proportional to 115,418 and 173,884

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Solution

The third proportional to 115,418 and 173,884 is: 261,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,418 : 173,884 = 173,884 : x
  2. Step 2: Convert to fraction form
    115,418/173,884 = 173,884/x
  3. Step 3: Cross multiply
    115,418x = 173,884 × 173,884
  4. Step 4: Simplify right side
    115,418x = 30,235,645,456
  5. Step 5: Solve for x
    x = 30,235,645,456/115,418
  6. Step 6: Final answer
    x = 261,966.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.