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Finding the Third Proportional to 64,089 and 140,244

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Solution

The third proportional to 64,089 and 140,244 is: 306,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,089 : 140,244 = 140,244 : x
  2. Step 2: Convert to fraction form
    64,089/140,244 = 140,244/x
  3. Step 3: Cross multiply
    64,089x = 140,244 × 140,244
  4. Step 4: Simplify right side
    64,089x = 19,668,379,536
  5. Step 5: Solve for x
    x = 19,668,379,536/64,089
  6. Step 6: Final answer
    x = 306,891.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.