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Finding the Third Proportional to 77,837 and 119,042

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Solution

The third proportional to 77,837 and 119,042 is: 182,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,837 : 119,042 = 119,042 : x
  2. Step 2: Convert to fraction form
    77,837/119,042 = 119,042/x
  3. Step 3: Cross multiply
    77,837x = 119,042 × 119,042
  4. Step 4: Simplify right side
    77,837x = 14,170,997,764
  5. Step 5: Solve for x
    x = 14,170,997,764/77,837
  6. Step 6: Final answer
    x = 182,059.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.