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Finding the Third Proportional to 95,673 and 140,598

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Solution

The third proportional to 95,673 and 140,598 is: 206,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,673 : 140,598 = 140,598 : x
  2. Step 2: Convert to fraction form
    95,673/140,598 = 140,598/x
  3. Step 3: Cross multiply
    95,673x = 140,598 × 140,598
  4. Step 4: Simplify right side
    95,673x = 19,767,797,604
  5. Step 5: Solve for x
    x = 19,767,797,604/95,673
  6. Step 6: Final answer
    x = 206,618.35

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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.