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Finding the Third Proportional to 48,002 and 106,659

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Solution

The third proportional to 48,002 and 106,659 is: 236,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,002 : 106,659 = 106,659 : x
  2. Step 2: Convert to fraction form
    48,002/106,659 = 106,659/x
  3. Step 3: Cross multiply
    48,002x = 106,659 × 106,659
  4. Step 4: Simplify right side
    48,002x = 11,376,142,281
  5. Step 5: Solve for x
    x = 11,376,142,281/48,002
  6. Step 6: Final answer
    x = 236,993.09

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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.