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Finding the Third Proportional to 70,589 and 151,411

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Solution

The third proportional to 70,589 and 151,411 is: 324,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,589 : 151,411 = 151,411 : x
  2. Step 2: Convert to fraction form
    70,589/151,411 = 151,411/x
  3. Step 3: Cross multiply
    70,589x = 151,411 × 151,411
  4. Step 4: Simplify right side
    70,589x = 22,925,290,921
  5. Step 5: Solve for x
    x = 22,925,290,921/70,589
  6. Step 6: Final answer
    x = 324,771.44

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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.