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Finding the Third Proportional to 47,987 and 99,047

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Solution

The third proportional to 47,987 and 99,047 is: 204,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,987 : 99,047 = 99,047 : x
  2. Step 2: Convert to fraction form
    47,987/99,047 = 99,047/x
  3. Step 3: Cross multiply
    47,987x = 99,047 × 99,047
  4. Step 4: Simplify right side
    47,987x = 9,810,308,209
  5. Step 5: Solve for x
    x = 9,810,308,209/47,987
  6. Step 6: Final answer
    x = 204,436.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.