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Finding the Third Proportional to 47,799 and 84,987

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Solution

The third proportional to 47,799 and 84,987 is: 151,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,799 : 84,987 = 84,987 : x
  2. Step 2: Convert to fraction form
    47,799/84,987 = 84,987/x
  3. Step 3: Cross multiply
    47,799x = 84,987 × 84,987
  4. Step 4: Simplify right side
    47,799x = 7,222,790,169
  5. Step 5: Solve for x
    x = 7,222,790,169/47,799
  6. Step 6: Final answer
    x = 151,107.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.