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Finding the Third Proportional to 49,664 and 106,048

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Solution

The third proportional to 49,664 and 106,048 is: 226,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,664 : 106,048 = 106,048 : x
  2. Step 2: Convert to fraction form
    49,664/106,048 = 106,048/x
  3. Step 3: Cross multiply
    49,664x = 106,048 × 106,048
  4. Step 4: Simplify right side
    49,664x = 11,246,178,304
  5. Step 5: Solve for x
    x = 11,246,178,304/49,664
  6. Step 6: Final answer
    x = 226,445.28

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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.