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Finding the Third Proportional to 49,796 and 77,102

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Solution

The third proportional to 49,796 and 77,102 is: 119,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,796 : 77,102 = 77,102 : x
  2. Step 2: Convert to fraction form
    49,796/77,102 = 77,102/x
  3. Step 3: Cross multiply
    49,796x = 77,102 × 77,102
  4. Step 4: Simplify right side
    49,796x = 5,944,718,404
  5. Step 5: Solve for x
    x = 5,944,718,404/49,796
  6. Step 6: Final answer
    x = 119,381.44

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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.