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Finding the Third Proportional to 112,170 and 239,904

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Solution

The third proportional to 112,170 and 239,904 is: 513,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,170 : 239,904 = 239,904 : x
  2. Step 2: Convert to fraction form
    112,170/239,904 = 239,904/x
  3. Step 3: Cross multiply
    112,170x = 239,904 × 239,904
  4. Step 4: Simplify right side
    112,170x = 57,553,929,216
  5. Step 5: Solve for x
    x = 57,553,929,216/112,170
  6. Step 6: Final answer
    x = 513,095.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.