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Finding the Third Proportional to 70,214 and 154,744

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Solution

The third proportional to 70,214 and 154,744 is: 341,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,214 : 154,744 = 154,744 : x
  2. Step 2: Convert to fraction form
    70,214/154,744 = 154,744/x
  3. Step 3: Cross multiply
    70,214x = 154,744 × 154,744
  4. Step 4: Simplify right side
    70,214x = 23,945,705,536
  5. Step 5: Solve for x
    x = 23,945,705,536/70,214
  6. Step 6: Final answer
    x = 341,038.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.