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Finding the Third Proportional to 89,927 and 195,721

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Solution

The third proportional to 89,927 and 195,721 is: 425,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,927 : 195,721 = 195,721 : x
  2. Step 2: Convert to fraction form
    89,927/195,721 = 195,721/x
  3. Step 3: Cross multiply
    89,927x = 195,721 × 195,721
  4. Step 4: Simplify right side
    89,927x = 38,306,709,841
  5. Step 5: Solve for x
    x = 38,306,709,841/89,927
  6. Step 6: Final answer
    x = 425,975.62

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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.