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Finding the Third Proportional to 47,782 and 102,259

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Solution

The third proportional to 47,782 and 102,259 is: 218,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782 : 102,259 = 102,259 : x
  2. Step 2: Convert to fraction form
    47,782/102,259 = 102,259/x
  3. Step 3: Cross multiply
    47,782x = 102,259 × 102,259
  4. Step 4: Simplify right side
    47,782x = 10,456,903,081
  5. Step 5: Solve for x
    x = 10,456,903,081/47,782
  6. Step 6: Final answer
    x = 218,846.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.