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Finding the Third Proportional to 49,792 and 75,408

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Solution

The third proportional to 49,792 and 75,408 is: 114,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,792 : 75,408 = 75,408 : x
  2. Step 2: Convert to fraction form
    49,792/75,408 = 75,408/x
  3. Step 3: Cross multiply
    49,792x = 75,408 × 75,408
  4. Step 4: Simplify right side
    49,792x = 5,686,366,464
  5. Step 5: Solve for x
    x = 5,686,366,464/49,792
  6. Step 6: Final answer
    x = 114,202.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.