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Finding the Third Proportional to 51,285 and 106,646

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Solution

The third proportional to 51,285 and 106,646 is: 221,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,285 : 106,646 = 106,646 : x
  2. Step 2: Convert to fraction form
    51,285/106,646 = 106,646/x
  3. Step 3: Cross multiply
    51,285x = 106,646 × 106,646
  4. Step 4: Simplify right side
    51,285x = 11,373,369,316
  5. Step 5: Solve for x
    x = 11,373,369,316/51,285
  6. Step 6: Final answer
    x = 221,767.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.