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Finding the Third Proportional to 50,659 and 110,237

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Solution

The third proportional to 50,659 and 110,237 is: 239,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,659 : 110,237 = 110,237 : x
  2. Step 2: Convert to fraction form
    50,659/110,237 = 110,237/x
  3. Step 3: Cross multiply
    50,659x = 110,237 × 110,237
  4. Step 4: Simplify right side
    50,659x = 12,152,196,169
  5. Step 5: Solve for x
    x = 12,152,196,169/50,659
  6. Step 6: Final answer
    x = 239,882.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.