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Finding the Third Proportional to 52,074 and 121,698

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Solution

The third proportional to 52,074 and 121,698 is: 284,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074 : 121,698 = 121,698 : x
  2. Step 2: Convert to fraction form
    52,074/121,698 = 121,698/x
  3. Step 3: Cross multiply
    52,074x = 121,698 × 121,698
  4. Step 4: Simplify right side
    52,074x = 14,810,403,204
  5. Step 5: Solve for x
    x = 14,810,403,204/52,074
  6. Step 6: Final answer
    x = 284,410.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.