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Finding the Third Proportional to 47,148.75 and 99,744.75

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Solution

The third proportional to 47,148.75 and 99,744.75 is: 211,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148.75 : 99,744.75 = 99,744.75 : x
  2. Step 2: Convert to fraction form
    47,148.75/99,744.75 = 99,744.75/x
  3. Step 3: Cross multiply
    47,148.75x = 99,744.75 × 99,744.75
  4. Step 4: Simplify right side
    47,148.75x = 9,949,015,152.56
  5. Step 5: Solve for x
    x = 9,949,015,152.56/47,148.75
  6. Step 6: Final answer
    x = 211,013.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.