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Finding the Third Proportional to 47,718.75 and 102,767.25

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Solution

The third proportional to 47,718.75 and 102,767.25 is: 221,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718.75 : 102,767.25 = 102,767.25 : x
  2. Step 2: Convert to fraction form
    47,718.75/102,767.25 = 102,767.25/x
  3. Step 3: Cross multiply
    47,718.75x = 102,767.25 × 102,767.25
  4. Step 4: Simplify right side
    47,718.75x = 10,561,107,672.56
  5. Step 5: Solve for x
    x = 10,561,107,672.56/47,718.75
  6. Step 6: Final answer
    x = 221,319.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.