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Finding the Third Proportional to 67,432 and 146,012

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Solution

The third proportional to 67,432 and 146,012 is: 316,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,432 : 146,012 = 146,012 : x
  2. Step 2: Convert to fraction form
    67,432/146,012 = 146,012/x
  3. Step 3: Cross multiply
    67,432x = 146,012 × 146,012
  4. Step 4: Simplify right side
    67,432x = 21,319,504,144
  5. Step 5: Solve for x
    x = 21,319,504,144/67,432
  6. Step 6: Final answer
    x = 316,163.01

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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.