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Finding the Third Proportional to 80,119 and 170,962

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Solution

The third proportional to 80,119 and 170,962 is: 364,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,119 : 170,962 = 170,962 : x
  2. Step 2: Convert to fraction form
    80,119/170,962 = 170,962/x
  3. Step 3: Cross multiply
    80,119x = 170,962 × 170,962
  4. Step 4: Simplify right side
    80,119x = 29,228,005,444
  5. Step 5: Solve for x
    x = 29,228,005,444/80,119
  6. Step 6: Final answer
    x = 364,807.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.