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Finding the Third Proportional to 50,752 and 109,279

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Solution

The third proportional to 50,752 and 109,279 is: 235,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,752 : 109,279 = 109,279 : x
  2. Step 2: Convert to fraction form
    50,752/109,279 = 109,279/x
  3. Step 3: Cross multiply
    50,752x = 109,279 × 109,279
  4. Step 4: Simplify right side
    50,752x = 11,941,899,841
  5. Step 5: Solve for x
    x = 11,941,899,841/50,752
  6. Step 6: Final answer
    x = 235,299.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.