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Finding the Third Proportional to 70,486 and 151,975

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Solution

The third proportional to 70,486 and 151,975 is: 327,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486 : 151,975 = 151,975 : x
  2. Step 2: Convert to fraction form
    70,486/151,975 = 151,975/x
  3. Step 3: Cross multiply
    70,486x = 151,975 × 151,975
  4. Step 4: Simplify right side
    70,486x = 23,096,400,625
  5. Step 5: Solve for x
    x = 23,096,400,625/70,486
  6. Step 6: Final answer
    x = 327,673.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.