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Finding the Third Proportional to 47,847 and 103,987.50

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Solution

The third proportional to 47,847 and 103,987.50 is: 225,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,847 : 103,987.50 = 103,987.50 : x
  2. Step 2: Convert to fraction form
    47,847/103,987.50 = 103,987.50/x
  3. Step 3: Cross multiply
    47,847x = 103,987.50 × 103,987.50
  4. Step 4: Simplify right side
    47,847x = 10,813,400,156.25
  5. Step 5: Solve for x
    x = 10,813,400,156.25/47,847
  6. Step 6: Final answer
    x = 225,999.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.