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Finding the Third Proportional to 70,422 and 151,944

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Solution

The third proportional to 70,422 and 151,944 is: 327,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422 : 151,944 = 151,944 : x
  2. Step 2: Convert to fraction form
    70,422/151,944 = 151,944/x
  3. Step 3: Cross multiply
    70,422x = 151,944 × 151,944
  4. Step 4: Simplify right side
    70,422x = 23,086,979,136
  5. Step 5: Solve for x
    x = 23,086,979,136/70,422
  6. Step 6: Final answer
    x = 327,837.60

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