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Finding the Third Proportional to 77,854 and 170,249

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Solution

The third proportional to 77,854 and 170,249 is: 372,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854 : 170,249 = 170,249 : x
  2. Step 2: Convert to fraction form
    77,854/170,249 = 170,249/x
  3. Step 3: Cross multiply
    77,854x = 170,249 × 170,249
  4. Step 4: Simplify right side
    77,854x = 28,984,722,001
  5. Step 5: Solve for x
    x = 28,984,722,001/77,854
  6. Step 6: Final answer
    x = 372,295.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.