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Finding the Third Proportional to 50,532 and 109,911

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Solution

The third proportional to 50,532 and 109,911 is: 239,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,532 : 109,911 = 109,911 : x
  2. Step 2: Convert to fraction form
    50,532/109,911 = 109,911/x
  3. Step 3: Cross multiply
    50,532x = 109,911 × 109,911
  4. Step 4: Simplify right side
    50,532x = 12,080,427,921
  5. Step 5: Solve for x
    x = 12,080,427,921/50,532
  6. Step 6: Final answer
    x = 239,064.91

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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.