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Finding the Third Proportional to 47,348 and 109,622

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Solution

The third proportional to 47,348 and 109,622 is: 253,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,348 : 109,622 = 109,622 : x
  2. Step 2: Convert to fraction form
    47,348/109,622 = 109,622/x
  3. Step 3: Cross multiply
    47,348x = 109,622 × 109,622
  4. Step 4: Simplify right side
    47,348x = 12,016,982,884
  5. Step 5: Solve for x
    x = 12,016,982,884/47,348
  6. Step 6: Final answer
    x = 253,801.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.