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Finding the Third Proportional to 92,124 and 194,031

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Solution

The third proportional to 92,124 and 194,031 is: 408,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,124 : 194,031 = 194,031 : x
  2. Step 2: Convert to fraction form
    92,124/194,031 = 194,031/x
  3. Step 3: Cross multiply
    92,124x = 194,031 × 194,031
  4. Step 4: Simplify right side
    92,124x = 37,648,028,961
  5. Step 5: Solve for x
    x = 37,648,028,961/92,124
  6. Step 6: Final answer
    x = 408,666.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.