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Finding the Third Proportional to 70,119.50 and 150,931

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Solution

The third proportional to 70,119.50 and 150,931 is: 324,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,119.50 : 150,931 = 150,931 : x
  2. Step 2: Convert to fraction form
    70,119.50/150,931 = 150,931/x
  3. Step 3: Cross multiply
    70,119.50x = 150,931 × 150,931
  4. Step 4: Simplify right side
    70,119.50x = 22,780,166,761
  5. Step 5: Solve for x
    x = 22,780,166,761/70,119.50
  6. Step 6: Final answer
    x = 324,876.34

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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.