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Finding the Third Proportional to 92,712 and 199,401

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Solution

The third proportional to 92,712 and 199,401 is: 428,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,712 : 199,401 = 199,401 : x
  2. Step 2: Convert to fraction form
    92,712/199,401 = 199,401/x
  3. Step 3: Cross multiply
    92,712x = 199,401 × 199,401
  4. Step 4: Simplify right side
    92,712x = 39,760,758,801
  5. Step 5: Solve for x
    x = 39,760,758,801/92,712
  6. Step 6: Final answer
    x = 428,863.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.