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Finding the Third Proportional to 140,970 and 207,561

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Solution

The third proportional to 140,970 and 207,561 is: 305,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,970 : 207,561 = 207,561 : x
  2. Step 2: Convert to fraction form
    140,970/207,561 = 207,561/x
  3. Step 3: Cross multiply
    140,970x = 207,561 × 207,561
  4. Step 4: Simplify right side
    140,970x = 43,081,568,721
  5. Step 5: Solve for x
    x = 43,081,568,721/140,970
  6. Step 6: Final answer
    x = 305,608.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.