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Finding the Third Proportional to 50,740 and 109,039

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Solution

The third proportional to 50,740 and 109,039 is: 234,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,740 : 109,039 = 109,039 : x
  2. Step 2: Convert to fraction form
    50,740/109,039 = 109,039/x
  3. Step 3: Cross multiply
    50,740x = 109,039 × 109,039
  4. Step 4: Simplify right side
    50,740x = 11,889,503,521
  5. Step 5: Solve for x
    x = 11,889,503,521/50,740
  6. Step 6: Final answer
    x = 234,322.10

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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.