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Finding the Third Proportional to 47,931.75 and 113,982.19

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Solution

The third proportional to 47,931.75 and 113,982.19 is: 271,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,931.75 : 113,982.19 = 113,982.19 : x
  2. Step 2: Convert to fraction form
    47,931.75/113,982.19 = 113,982.19/x
  3. Step 3: Cross multiply
    47,931.75x = 113,982.19 × 113,982.19
  4. Step 4: Simplify right side
    47,931.75x = 12,991,939,067.29
  5. Step 5: Solve for x
    x = 12,991,939,067.29/47,931.75
  6. Step 6: Final answer
    x = 271,050.80

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.