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Finding the Third Proportional to 55,591 and 122,521

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Solution

The third proportional to 55,591 and 122,521 is: 270,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,591 : 122,521 = 122,521 : x
  2. Step 2: Convert to fraction form
    55,591/122,521 = 122,521/x
  3. Step 3: Cross multiply
    55,591x = 122,521 × 122,521
  4. Step 4: Simplify right side
    55,591x = 15,011,395,441
  5. Step 5: Solve for x
    x = 15,011,395,441/55,591
  6. Step 6: Final answer
    x = 270,032.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.