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Finding the Third Proportional to 49,833 and 77,241

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Solution

The third proportional to 49,833 and 77,241 is: 119,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,833 : 77,241 = 77,241 : x
  2. Step 2: Convert to fraction form
    49,833/77,241 = 77,241/x
  3. Step 3: Cross multiply
    49,833x = 77,241 × 77,241
  4. Step 4: Simplify right side
    49,833x = 5,966,172,081
  5. Step 5: Solve for x
    x = 5,966,172,081/49,833
  6. Step 6: Final answer
    x = 119,723.32

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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.