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Finding the Third Proportional to 109,737 and 164,551

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Solution

The third proportional to 109,737 and 164,551 is: 246,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,737 : 164,551 = 164,551 : x
  2. Step 2: Convert to fraction form
    109,737/164,551 = 164,551/x
  3. Step 3: Cross multiply
    109,737x = 164,551 × 164,551
  4. Step 4: Simplify right side
    109,737x = 27,077,031,601
  5. Step 5: Solve for x
    x = 27,077,031,601/109,737
  6. Step 6: Final answer
    x = 246,744.78

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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.