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Finding the Third Proportional to 103,922 and 251,273

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Solution

The third proportional to 103,922 and 251,273 is: 607,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,922 : 251,273 = 251,273 : x
  2. Step 2: Convert to fraction form
    103,922/251,273 = 251,273/x
  3. Step 3: Cross multiply
    103,922x = 251,273 × 251,273
  4. Step 4: Simplify right side
    103,922x = 63,138,120,529
  5. Step 5: Solve for x
    x = 63,138,120,529/103,922
  6. Step 6: Final answer
    x = 607,552.98

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.