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Finding the Third Proportional to 47,550 and 102,246

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Solution

The third proportional to 47,550 and 102,246 is: 219,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,550 : 102,246 = 102,246 : x
  2. Step 2: Convert to fraction form
    47,550/102,246 = 102,246/x
  3. Step 3: Cross multiply
    47,550x = 102,246 × 102,246
  4. Step 4: Simplify right side
    47,550x = 10,454,244,516
  5. Step 5: Solve for x
    x = 10,454,244,516/47,550
  6. Step 6: Final answer
    x = 219,857.93

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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.