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Finding the Third Proportional to 47,382 and 102,144.75

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Solution

The third proportional to 47,382 and 102,144.75 is: 220,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382 : 102,144.75 = 102,144.75 : x
  2. Step 2: Convert to fraction form
    47,382/102,144.75 = 102,144.75/x
  3. Step 3: Cross multiply
    47,382x = 102,144.75 × 102,144.75
  4. Step 4: Simplify right side
    47,382x = 10,433,549,952.56
  5. Step 5: Solve for x
    x = 10,433,549,952.56/47,382
  6. Step 6: Final answer
    x = 220,200.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.