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Finding the Third Proportional to 47,948 and 106,376

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Solution

The third proportional to 47,948 and 106,376 is: 236,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,948 : 106,376 = 106,376 : x
  2. Step 2: Convert to fraction form
    47,948/106,376 = 106,376/x
  3. Step 3: Cross multiply
    47,948x = 106,376 × 106,376
  4. Step 4: Simplify right side
    47,948x = 11,315,853,376
  5. Step 5: Solve for x
    x = 11,315,853,376/47,948
  6. Step 6: Final answer
    x = 236,002.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.