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Finding the Third Proportional to 48,666 and 106,908

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Solution

The third proportional to 48,666 and 106,908 is: 234,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,666 : 106,908 = 106,908 : x
  2. Step 2: Convert to fraction form
    48,666/106,908 = 106,908/x
  3. Step 3: Cross multiply
    48,666x = 106,908 × 106,908
  4. Step 4: Simplify right side
    48,666x = 11,429,320,464
  5. Step 5: Solve for x
    x = 11,429,320,464/48,666
  6. Step 6: Final answer
    x = 234,852.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.