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Finding the Third Proportional to 49,694 and 106,490

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Solution

The third proportional to 49,694 and 106,490 is: 228,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,694 : 106,490 = 106,490 : x
  2. Step 2: Convert to fraction form
    49,694/106,490 = 106,490/x
  3. Step 3: Cross multiply
    49,694x = 106,490 × 106,490
  4. Step 4: Simplify right side
    49,694x = 11,340,120,100
  5. Step 5: Solve for x
    x = 11,340,120,100/49,694
  6. Step 6: Final answer
    x = 228,198.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.