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Finding the Third Proportional to 48,854 and 106,456

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Solution

The third proportional to 48,854 and 106,456 is: 231,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,854 : 106,456 = 106,456 : x
  2. Step 2: Convert to fraction form
    48,854/106,456 = 106,456/x
  3. Step 3: Cross multiply
    48,854x = 106,456 × 106,456
  4. Step 4: Simplify right side
    48,854x = 11,332,879,936
  5. Step 5: Solve for x
    x = 11,332,879,936/48,854
  6. Step 6: Final answer
    x = 231,974.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.