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Finding the Third Proportional to 99,904 and 155,274

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Solution

The third proportional to 99,904 and 155,274 is: 241,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,904 : 155,274 = 155,274 : x
  2. Step 2: Convert to fraction form
    99,904/155,274 = 155,274/x
  3. Step 3: Cross multiply
    99,904x = 155,274 × 155,274
  4. Step 4: Simplify right side
    99,904x = 24,110,015,076
  5. Step 5: Solve for x
    x = 24,110,015,076/99,904
  6. Step 6: Final answer
    x = 241,331.83

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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.