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Finding the Third Proportional to 49,170 and 74,661

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Solution

The third proportional to 49,170 and 74,661 is: 113,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,170 : 74,661 = 74,661 : x
  2. Step 2: Convert to fraction form
    49,170/74,661 = 74,661/x
  3. Step 3: Cross multiply
    49,170x = 74,661 × 74,661
  4. Step 4: Simplify right side
    49,170x = 5,574,264,921
  5. Step 5: Solve for x
    x = 5,574,264,921/49,170
  6. Step 6: Final answer
    x = 113,367.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.