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Finding the Third Proportional to 70,744 and 154,124

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Solution

The third proportional to 70,744 and 154,124 is: 335,776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,744 : 154,124 = 154,124 : x
  2. Step 2: Convert to fraction form
    70,744/154,124 = 154,124/x
  3. Step 3: Cross multiply
    70,744x = 154,124 × 154,124
  4. Step 4: Simplify right side
    70,744x = 23,754,207,376
  5. Step 5: Solve for x
    x = 23,754,207,376/70,744
  6. Step 6: Final answer
    x = 335,776.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.