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Finding the Third Proportional to 49,093 and 75,569

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Solution

The third proportional to 49,093 and 75,569 is: 116,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,093 : 75,569 = 75,569 : x
  2. Step 2: Convert to fraction form
    49,093/75,569 = 75,569/x
  3. Step 3: Cross multiply
    49,093x = 75,569 × 75,569
  4. Step 4: Simplify right side
    49,093x = 5,710,673,761
  5. Step 5: Solve for x
    x = 5,710,673,761/49,093
  6. Step 6: Final answer
    x = 116,323.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.