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Finding the Third Proportional to 111,036 and 239,796

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Solution

The third proportional to 111,036 and 239,796 is: 517,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,036 : 239,796 = 239,796 : x
  2. Step 2: Convert to fraction form
    111,036/239,796 = 239,796/x
  3. Step 3: Cross multiply
    111,036x = 239,796 × 239,796
  4. Step 4: Simplify right side
    111,036x = 57,502,121,616
  5. Step 5: Solve for x
    x = 57,502,121,616/111,036
  6. Step 6: Final answer
    x = 517,869.17

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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.