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Finding the Third Proportional to 70,152 and 150,144

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Solution

The third proportional to 70,152 and 150,144 is: 321,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152 : 150,144 = 150,144 : x
  2. Step 2: Convert to fraction form
    70,152/150,144 = 150,144/x
  3. Step 3: Cross multiply
    70,152x = 150,144 × 150,144
  4. Step 4: Simplify right side
    70,152x = 22,543,220,736
  5. Step 5: Solve for x
    x = 22,543,220,736/70,152
  6. Step 6: Final answer
    x = 321,348.23

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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.