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Finding the Third Proportional to 89,673 and 194,169

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Solution

The third proportional to 89,673 and 194,169 is: 420,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,673 : 194,169 = 194,169 : x
  2. Step 2: Convert to fraction form
    89,673/194,169 = 194,169/x
  3. Step 3: Cross multiply
    89,673x = 194,169 × 194,169
  4. Step 4: Simplify right side
    89,673x = 37,701,600,561
  5. Step 5: Solve for x
    x = 37,701,600,561/89,673
  6. Step 6: Final answer
    x = 420,434.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.