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Finding the Third Proportional to 67,632 and 142,816

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Solution

The third proportional to 67,632 and 142,816 is: 301,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,632 : 142,816 = 142,816 : x
  2. Step 2: Convert to fraction form
    67,632/142,816 = 142,816/x
  3. Step 3: Cross multiply
    67,632x = 142,816 × 142,816
  4. Step 4: Simplify right side
    67,632x = 20,396,409,856
  5. Step 5: Solve for x
    x = 20,396,409,856/67,632
  6. Step 6: Final answer
    x = 301,579.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.