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Finding the Third Proportional to 112,184 and 239,932

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Solution

The third proportional to 112,184 and 239,932 is: 513,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,184 : 239,932 = 239,932 : x
  2. Step 2: Convert to fraction form
    112,184/239,932 = 239,932/x
  3. Step 3: Cross multiply
    112,184x = 239,932 × 239,932
  4. Step 4: Simplify right side
    112,184x = 57,567,364,624
  5. Step 5: Solve for x
    x = 57,567,364,624/112,184
  6. Step 6: Final answer
    x = 513,151.29

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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.