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Finding the Third Proportional to 49,744 and 77,137

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Solution

The third proportional to 49,744 and 77,137 is: 119,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,744 : 77,137 = 77,137 : x
  2. Step 2: Convert to fraction form
    49,744/77,137 = 77,137/x
  3. Step 3: Cross multiply
    49,744x = 77,137 × 77,137
  4. Step 4: Simplify right side
    49,744x = 5,950,116,769
  5. Step 5: Solve for x
    x = 5,950,116,769/49,744
  6. Step 6: Final answer
    x = 119,614.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.