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Finding the Third Proportional to 99,741 and 149,274

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Solution

The third proportional to 99,741 and 149,274 is: 223,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,741 : 149,274 = 149,274 : x
  2. Step 2: Convert to fraction form
    99,741/149,274 = 149,274/x
  3. Step 3: Cross multiply
    99,741x = 149,274 × 149,274
  4. Step 4: Simplify right side
    99,741x = 22,282,727,076
  5. Step 5: Solve for x
    x = 22,282,727,076/99,741
  6. Step 6: Final answer
    x = 223,405.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.