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Finding the Third Proportional to 64,898 and 140,812

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Solution

The third proportional to 64,898 and 140,812 is: 305,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,898 : 140,812 = 140,812 : x
  2. Step 2: Convert to fraction form
    64,898/140,812 = 140,812/x
  3. Step 3: Cross multiply
    64,898x = 140,812 × 140,812
  4. Step 4: Simplify right side
    64,898x = 19,828,019,344
  5. Step 5: Solve for x
    x = 19,828,019,344/64,898
  6. Step 6: Final answer
    x = 305,525.89

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Why These Related Problems?

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