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Finding the Third Proportional to 99,474 and 154,254

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Solution

The third proportional to 99,474 and 154,254 is: 239,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,474 : 154,254 = 154,254 : x
  2. Step 2: Convert to fraction form
    99,474/154,254 = 154,254/x
  3. Step 3: Cross multiply
    99,474x = 154,254 × 154,254
  4. Step 4: Simplify right side
    99,474x = 23,794,296,516
  5. Step 5: Solve for x
    x = 23,794,296,516/99,474
  6. Step 6: Final answer
    x = 239,201.16

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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.