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Finding the Third Proportional to 49,434 and 106,643

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Solution

The third proportional to 49,434 and 106,643 is: 230,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,434 : 106,643 = 106,643 : x
  2. Step 2: Convert to fraction form
    49,434/106,643 = 106,643/x
  3. Step 3: Cross multiply
    49,434x = 106,643 × 106,643
  4. Step 4: Simplify right side
    49,434x = 11,372,729,449
  5. Step 5: Solve for x
    x = 11,372,729,449/49,434
  6. Step 6: Final answer
    x = 230,058.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.