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Finding the Third Proportional to 48,330 and 106,467

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Solution

The third proportional to 48,330 and 106,467 is: 234,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,330 : 106,467 = 106,467 : x
  2. Step 2: Convert to fraction form
    48,330/106,467 = 106,467/x
  3. Step 3: Cross multiply
    48,330x = 106,467 × 106,467
  4. Step 4: Simplify right side
    48,330x = 11,335,222,089
  5. Step 5: Solve for x
    x = 11,335,222,089/48,330
  6. Step 6: Final answer
    x = 234,538.01

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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.