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Finding the Third Proportional to 111,006 and 239,742

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Solution

The third proportional to 111,006 and 239,742 is: 517,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,006 : 239,742 = 239,742 : x
  2. Step 2: Convert to fraction form
    111,006/239,742 = 239,742/x
  3. Step 3: Cross multiply
    111,006x = 239,742 × 239,742
  4. Step 4: Simplify right side
    111,006x = 57,476,226,564
  5. Step 5: Solve for x
    x = 57,476,226,564/111,006
  6. Step 6: Final answer
    x = 517,775.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.