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Finding the Third Proportional to 122,658.75 and 271,836

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Solution

The third proportional to 122,658.75 and 271,836 is: 602,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,658.75 : 271,836 = 271,836 : x
  2. Step 2: Convert to fraction form
    122,658.75/271,836 = 271,836/x
  3. Step 3: Cross multiply
    122,658.75x = 271,836 × 271,836
  4. Step 4: Simplify right side
    122,658.75x = 73,894,810,896
  5. Step 5: Solve for x
    x = 73,894,810,896/122,658.75
  6. Step 6: Final answer
    x = 602,442.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.