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Finding the Third Proportional to 67,652 and 146,966

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Solution

The third proportional to 67,652 and 146,966 is: 319,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,652 : 146,966 = 146,966 : x
  2. Step 2: Convert to fraction form
    67,652/146,966 = 146,966/x
  3. Step 3: Cross multiply
    67,652x = 146,966 × 146,966
  4. Step 4: Simplify right side
    67,652x = 21,599,005,156
  5. Step 5: Solve for x
    x = 21,599,005,156/67,652
  6. Step 6: Final answer
    x = 319,266.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.