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Finding the Third Proportional to 50,024 and 106,959

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Solution

The third proportional to 50,024 and 106,959 is: 228,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,024 : 106,959 = 106,959 : x
  2. Step 2: Convert to fraction form
    50,024/106,959 = 106,959/x
  3. Step 3: Cross multiply
    50,024x = 106,959 × 106,959
  4. Step 4: Simplify right side
    50,024x = 11,440,227,681
  5. Step 5: Solve for x
    x = 11,440,227,681/50,024
  6. Step 6: Final answer
    x = 228,694.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.