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Finding the Third Proportional to 49,144 and 77,941

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Solution

The third proportional to 49,144 and 77,941 is: 123,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144 : 77,941 = 77,941 : x
  2. Step 2: Convert to fraction form
    49,144/77,941 = 77,941/x
  3. Step 3: Cross multiply
    49,144x = 77,941 × 77,941
  4. Step 4: Simplify right side
    49,144x = 6,074,799,481
  5. Step 5: Solve for x
    x = 6,074,799,481/49,144
  6. Step 6: Final answer
    x = 123,612.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.