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Finding the Third Proportional to 49,050 and 75,792

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Solution

The third proportional to 49,050 and 75,792 is: 117,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,050 : 75,792 = 75,792 : x
  2. Step 2: Convert to fraction form
    49,050/75,792 = 75,792/x
  3. Step 3: Cross multiply
    49,050x = 75,792 × 75,792
  4. Step 4: Simplify right side
    49,050x = 5,744,427,264
  5. Step 5: Solve for x
    x = 5,744,427,264/49,050
  6. Step 6: Final answer
    x = 117,113.71

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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.