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Finding the Third Proportional to 59,141 and 127,662

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Solution

The third proportional to 59,141 and 127,662 is: 275,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,141 : 127,662 = 127,662 : x
  2. Step 2: Convert to fraction form
    59,141/127,662 = 127,662/x
  3. Step 3: Cross multiply
    59,141x = 127,662 × 127,662
  4. Step 4: Simplify right side
    59,141x = 16,297,586,244
  5. Step 5: Solve for x
    x = 16,297,586,244/59,141
  6. Step 6: Final answer
    x = 275,571.71

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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.