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Finding the Third Proportional to 48,464 and 104,569

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Solution

The third proportional to 48,464 and 104,569 is: 225,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,464 : 104,569 = 104,569 : x
  2. Step 2: Convert to fraction form
    48,464/104,569 = 104,569/x
  3. Step 3: Cross multiply
    48,464x = 104,569 × 104,569
  4. Step 4: Simplify right side
    48,464x = 10,934,675,761
  5. Step 5: Solve for x
    x = 10,934,675,761/48,464
  6. Step 6: Final answer
    x = 225,624.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.