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Finding the Third Proportional to 70,427 and 151,102

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Solution

The third proportional to 70,427 and 151,102 is: 324,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,427 : 151,102 = 151,102 : x
  2. Step 2: Convert to fraction form
    70,427/151,102 = 151,102/x
  3. Step 3: Cross multiply
    70,427x = 151,102 × 151,102
  4. Step 4: Simplify right side
    70,427x = 22,831,814,404
  5. Step 5: Solve for x
    x = 22,831,814,404/70,427
  6. Step 6: Final answer
    x = 324,191.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.