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Finding the Third Proportional to 51,995 and 106,454

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Solution

The third proportional to 51,995 and 106,454 is: 217,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,995 : 106,454 = 106,454 : x
  2. Step 2: Convert to fraction form
    51,995/106,454 = 106,454/x
  3. Step 3: Cross multiply
    51,995x = 106,454 × 106,454
  4. Step 4: Simplify right side
    51,995x = 11,332,454,116
  5. Step 5: Solve for x
    x = 11,332,454,116/51,995
  6. Step 6: Final answer
    x = 217,952.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.