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Finding the Third Proportional to 98,277 and 155,867

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Solution

The third proportional to 98,277 and 155,867 is: 247,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,277 : 155,867 = 155,867 : x
  2. Step 2: Convert to fraction form
    98,277/155,867 = 155,867/x
  3. Step 3: Cross multiply
    98,277x = 155,867 × 155,867
  4. Step 4: Simplify right side
    98,277x = 24,294,521,689
  5. Step 5: Solve for x
    x = 24,294,521,689/98,277
  6. Step 6: Final answer
    x = 247,204.55

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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.