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Finding the Third Proportional to 116,137 and 251,282

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Solution

The third proportional to 116,137 and 251,282 is: 543,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,137 : 251,282 = 251,282 : x
  2. Step 2: Convert to fraction form
    116,137/251,282 = 251,282/x
  3. Step 3: Cross multiply
    116,137x = 251,282 × 251,282
  4. Step 4: Simplify right side
    116,137x = 63,142,643,524
  5. Step 5: Solve for x
    x = 63,142,643,524/116,137
  6. Step 6: Final answer
    x = 543,691.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.