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Finding the Third Proportional to 122,664 and 271,533

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Solution

The third proportional to 122,664 and 271,533 is: 601,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,664 : 271,533 = 271,533 : x
  2. Step 2: Convert to fraction form
    122,664/271,533 = 271,533/x
  3. Step 3: Cross multiply
    122,664x = 271,533 × 271,533
  4. Step 4: Simplify right side
    122,664x = 73,730,170,089
  5. Step 5: Solve for x
    x = 73,730,170,089/122,664
  6. Step 6: Final answer
    x = 601,074.24

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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.