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Finding the Third Proportional to 122,658 and 271,521

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Solution

The third proportional to 122,658 and 271,521 is: 601,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,658 : 271,521 = 271,521 : x
  2. Step 2: Convert to fraction form
    122,658/271,521 = 271,521/x
  3. Step 3: Cross multiply
    122,658x = 271,521 × 271,521
  4. Step 4: Simplify right side
    122,658x = 73,723,653,441
  5. Step 5: Solve for x
    x = 73,723,653,441/122,658
  6. Step 6: Final answer
    x = 601,050.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.