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Finding the Third Proportional to 67,986 and 146,502

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Solution

The third proportional to 67,986 and 146,502 is: 315,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,986 : 146,502 = 146,502 : x
  2. Step 2: Convert to fraction form
    67,986/146,502 = 146,502/x
  3. Step 3: Cross multiply
    67,986x = 146,502 × 146,502
  4. Step 4: Simplify right side
    67,986x = 21,462,836,004
  5. Step 5: Solve for x
    x = 21,462,836,004/67,986
  6. Step 6: Final answer
    x = 315,694.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.