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Finding the Third Proportional to 90,192 and 140,201

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Solution

The third proportional to 90,192 and 140,201 is: 217,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,192 : 140,201 = 140,201 : x
  2. Step 2: Convert to fraction form
    90,192/140,201 = 140,201/x
  3. Step 3: Cross multiply
    90,192x = 140,201 × 140,201
  4. Step 4: Simplify right side
    90,192x = 19,656,320,401
  5. Step 5: Solve for x
    x = 19,656,320,401/90,192
  6. Step 6: Final answer
    x = 217,938.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.