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Finding the Third Proportional to 68,982 and 151,212

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Solution

The third proportional to 68,982 and 151,212 is: 331,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,982 : 151,212 = 151,212 : x
  2. Step 2: Convert to fraction form
    68,982/151,212 = 151,212/x
  3. Step 3: Cross multiply
    68,982x = 151,212 × 151,212
  4. Step 4: Simplify right side
    68,982x = 22,865,068,944
  5. Step 5: Solve for x
    x = 22,865,068,944/68,982
  6. Step 6: Final answer
    x = 331,464.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.