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Finding the Third Proportional to 70,144 and 151,952

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Solution

The third proportional to 70,144 and 151,952 is: 329,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,144 : 151,952 = 151,952 : x
  2. Step 2: Convert to fraction form
    70,144/151,952 = 151,952/x
  3. Step 3: Cross multiply
    70,144x = 151,952 × 151,952
  4. Step 4: Simplify right side
    70,144x = 23,089,410,304
  5. Step 5: Solve for x
    x = 23,089,410,304/70,144
  6. Step 6: Final answer
    x = 329,171.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.