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Finding the Third Proportional to 122,404 and 172,367

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Solution

The third proportional to 122,404 and 172,367 is: 242,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,404 : 172,367 = 172,367 : x
  2. Step 2: Convert to fraction form
    122,404/172,367 = 172,367/x
  3. Step 3: Cross multiply
    122,404x = 172,367 × 172,367
  4. Step 4: Simplify right side
    122,404x = 29,710,382,689
  5. Step 5: Solve for x
    x = 29,710,382,689/122,404
  6. Step 6: Final answer
    x = 242,723.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.