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Finding the Third Proportional to 92,982 and 197,592

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Solution

The third proportional to 92,982 and 197,592 is: 419,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,982 : 197,592 = 197,592 : x
  2. Step 2: Convert to fraction form
    92,982/197,592 = 197,592/x
  3. Step 3: Cross multiply
    92,982x = 197,592 × 197,592
  4. Step 4: Simplify right side
    92,982x = 39,042,598,464
  5. Step 5: Solve for x
    x = 39,042,598,464/92,982
  6. Step 6: Final answer
    x = 419,894.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.