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Finding the Third Proportional to 109,116 and 239,052

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Solution

The third proportional to 109,116 and 239,052 is: 523,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,116 : 239,052 = 239,052 : x
  2. Step 2: Convert to fraction form
    109,116/239,052 = 239,052/x
  3. Step 3: Cross multiply
    109,116x = 239,052 × 239,052
  4. Step 4: Simplify right side
    109,116x = 57,145,858,704
  5. Step 5: Solve for x
    x = 57,145,858,704/109,116
  6. Step 6: Final answer
    x = 523,716.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.