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Finding the Third Proportional to 51,033 and 106,713

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Solution

The third proportional to 51,033 and 106,713 is: 223,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,033 : 106,713 = 106,713 : x
  2. Step 2: Convert to fraction form
    51,033/106,713 = 106,713/x
  3. Step 3: Cross multiply
    51,033x = 106,713 × 106,713
  4. Step 4: Simplify right side
    51,033x = 11,387,664,369
  5. Step 5: Solve for x
    x = 11,387,664,369/51,033
  6. Step 6: Final answer
    x = 223,143.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.