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Finding the Third Proportional to 112,166 and 239,896

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Solution

The third proportional to 112,166 and 239,896 is: 513,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,166 : 239,896 = 239,896 : x
  2. Step 2: Convert to fraction form
    112,166/239,896 = 239,896/x
  3. Step 3: Cross multiply
    112,166x = 239,896 × 239,896
  4. Step 4: Simplify right side
    112,166x = 57,550,090,816
  5. Step 5: Solve for x
    x = 57,550,090,816/112,166
  6. Step 6: Final answer
    x = 513,079.64

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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.