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Finding the Third Proportional to 70,742 and 151,606

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Solution

The third proportional to 70,742 and 151,606 is: 324,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,742 : 151,606 = 151,606 : x
  2. Step 2: Convert to fraction form
    70,742/151,606 = 151,606/x
  3. Step 3: Cross multiply
    70,742x = 151,606 × 151,606
  4. Step 4: Simplify right side
    70,742x = 22,984,379,236
  5. Step 5: Solve for x
    x = 22,984,379,236/70,742
  6. Step 6: Final answer
    x = 324,904.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.