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Finding the Third Proportional to 89,651 and 195,073

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Solution

The third proportional to 89,651 and 195,073 is: 424,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,651 : 195,073 = 195,073 : x
  2. Step 2: Convert to fraction form
    89,651/195,073 = 195,073/x
  3. Step 3: Cross multiply
    89,651x = 195,073 × 195,073
  4. Step 4: Simplify right side
    89,651x = 38,053,475,329
  5. Step 5: Solve for x
    x = 38,053,475,329/89,651
  6. Step 6: Final answer
    x = 424,462.36

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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.