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Finding the Third Proportional to 70,125 and 150,942

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Solution

The third proportional to 70,125 and 150,942 is: 324,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,125 : 150,942 = 150,942 : x
  2. Step 2: Convert to fraction form
    70,125/150,942 = 150,942/x
  3. Step 3: Cross multiply
    70,125x = 150,942 × 150,942
  4. Step 4: Simplify right side
    70,125x = 22,783,487,364
  5. Step 5: Solve for x
    x = 22,783,487,364/70,125
  6. Step 6: Final answer
    x = 324,898.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.