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Finding the Third Proportional to 77,996 and 170,800

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Solution

The third proportional to 77,996 and 170,800 is: 374,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,996 : 170,800 = 170,800 : x
  2. Step 2: Convert to fraction form
    77,996/170,800 = 170,800/x
  3. Step 3: Cross multiply
    77,996x = 170,800 × 170,800
  4. Step 4: Simplify right side
    77,996x = 29,172,640,000
  5. Step 5: Solve for x
    x = 29,172,640,000/77,996
  6. Step 6: Final answer
    x = 374,027.39

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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.