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Finding the Third Proportional to 67,047.75 and 132,384.38

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Solution

The third proportional to 67,047.75 and 132,384.38 is: 261,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.75 : 132,384.38 = 132,384.38 : x
  2. Step 2: Convert to fraction form
    67,047.75/132,384.38 = 132,384.38/x
  3. Step 3: Cross multiply
    67,047.75x = 132,384.38 × 132,384.38
  4. Step 4: Simplify right side
    67,047.75x = 17,525,622,744.14
  5. Step 5: Solve for x
    x = 17,525,622,744.14/67,047.75
  6. Step 6: Final answer
    x = 261,390.17

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.