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Finding the Third Proportional to 89,124 and 198,173

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Solution

The third proportional to 89,124 and 198,173 is: 440,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,124 : 198,173 = 198,173 : x
  2. Step 2: Convert to fraction form
    89,124/198,173 = 198,173/x
  3. Step 3: Cross multiply
    89,124x = 198,173 × 198,173
  4. Step 4: Simplify right side
    89,124x = 39,272,537,929
  5. Step 5: Solve for x
    x = 39,272,537,929/89,124
  6. Step 6: Final answer
    x = 440,650.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.