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Finding the Third Proportional to 49,280 and 75,742

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Solution

The third proportional to 49,280 and 75,742 is: 116,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,280 : 75,742 = 75,742 : x
  2. Step 2: Convert to fraction form
    49,280/75,742 = 75,742/x
  3. Step 3: Cross multiply
    49,280x = 75,742 × 75,742
  4. Step 4: Simplify right side
    49,280x = 5,736,850,564
  5. Step 5: Solve for x
    x = 5,736,850,564/49,280
  6. Step 6: Final answer
    x = 116,413.36

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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.