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Finding the Third Proportional to 70,134 and 151,932

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Solution

The third proportional to 70,134 and 151,932 is: 329,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,134 : 151,932 = 151,932 : x
  2. Step 2: Convert to fraction form
    70,134/151,932 = 151,932/x
  3. Step 3: Cross multiply
    70,134x = 151,932 × 151,932
  4. Step 4: Simplify right side
    70,134x = 23,083,332,624
  5. Step 5: Solve for x
    x = 23,083,332,624/70,134
  6. Step 6: Final answer
    x = 329,131.84

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