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Finding the Third Proportional to 92,972 and 191,446

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Solution

The third proportional to 92,972 and 191,446 is: 394,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,972 : 191,446 = 191,446 : x
  2. Step 2: Convert to fraction form
    92,972/191,446 = 191,446/x
  3. Step 3: Cross multiply
    92,972x = 191,446 × 191,446
  4. Step 4: Simplify right side
    92,972x = 36,651,570,916
  5. Step 5: Solve for x
    x = 36,651,570,916/92,972
  6. Step 6: Final answer
    x = 394,221.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.