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Finding the Third Proportional to 70,672 and 151,150

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Solution

The third proportional to 70,672 and 151,150 is: 323,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,672 : 151,150 = 151,150 : x
  2. Step 2: Convert to fraction form
    70,672/151,150 = 151,150/x
  3. Step 3: Cross multiply
    70,672x = 151,150 × 151,150
  4. Step 4: Simplify right side
    70,672x = 22,846,322,500
  5. Step 5: Solve for x
    x = 22,846,322,500/70,672
  6. Step 6: Final answer
    x = 323,272.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.