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Finding the Third Proportional to 67,047 and 142,662

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Solution

The third proportional to 67,047 and 142,662 is: 303,554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047 : 142,662 = 142,662 : x
  2. Step 2: Convert to fraction form
    67,047/142,662 = 142,662/x
  3. Step 3: Cross multiply
    67,047x = 142,662 × 142,662
  4. Step 4: Simplify right side
    67,047x = 20,352,446,244
  5. Step 5: Solve for x
    x = 20,352,446,244/67,047
  6. Step 6: Final answer
    x = 303,554.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.