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Finding the Third Proportional to 92,588 and 192,446

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Solution

The third proportional to 92,588 and 192,446 is: 400,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,588 : 192,446 = 192,446 : x
  2. Step 2: Convert to fraction form
    92,588/192,446 = 192,446/x
  3. Step 3: Cross multiply
    92,588x = 192,446 × 192,446
  4. Step 4: Simplify right side
    92,588x = 37,035,462,916
  5. Step 5: Solve for x
    x = 37,035,462,916/92,588
  6. Step 6: Final answer
    x = 400,002.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.