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Finding the Third Proportional to 112,682 and 239,726

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Solution

The third proportional to 112,682 and 239,726 is: 510,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,682 : 239,726 = 239,726 : x
  2. Step 2: Convert to fraction form
    112,682/239,726 = 239,726/x
  3. Step 3: Cross multiply
    112,682x = 239,726 × 239,726
  4. Step 4: Simplify right side
    112,682x = 57,468,555,076
  5. Step 5: Solve for x
    x = 57,468,555,076/112,682
  6. Step 6: Final answer
    x = 510,006.52

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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.