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Finding the Third Proportional to 77,839 and 119,045

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Solution

The third proportional to 77,839 and 119,045 is: 182,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,839 : 119,045 = 119,045 : x
  2. Step 2: Convert to fraction form
    77,839/119,045 = 119,045/x
  3. Step 3: Cross multiply
    77,839x = 119,045 × 119,045
  4. Step 4: Simplify right side
    77,839x = 14,171,712,025
  5. Step 5: Solve for x
    x = 14,171,712,025/77,839
  6. Step 6: Final answer
    x = 182,064.42

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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.