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Finding the Third Proportional to 112,680 and 239,704

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Solution

The third proportional to 112,680 and 239,704 is: 509,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,680 : 239,704 = 239,704 : x
  2. Step 2: Convert to fraction form
    112,680/239,704 = 239,704/x
  3. Step 3: Cross multiply
    112,680x = 239,704 × 239,704
  4. Step 4: Simplify right side
    112,680x = 57,458,007,616
  5. Step 5: Solve for x
    x = 57,458,007,616/112,680
  6. Step 6: Final answer
    x = 509,921.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.