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Finding the Third Proportional to 70,777 and 154,042

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Solution

The third proportional to 70,777 and 154,042 is: 335,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,777 : 154,042 = 154,042 : x
  2. Step 2: Convert to fraction form
    70,777/154,042 = 154,042/x
  3. Step 3: Cross multiply
    70,777x = 154,042 × 154,042
  4. Step 4: Simplify right side
    70,777x = 23,728,937,764
  5. Step 5: Solve for x
    x = 23,728,937,764/70,777
  6. Step 6: Final answer
    x = 335,263.40

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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.