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Finding the Third Proportional to 112,331 and 164,104

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Solution

The third proportional to 112,331 and 164,104 is: 239,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,331 : 164,104 = 164,104 : x
  2. Step 2: Convert to fraction form
    112,331/164,104 = 164,104/x
  3. Step 3: Cross multiply
    112,331x = 164,104 × 164,104
  4. Step 4: Simplify right side
    112,331x = 26,930,122,816
  5. Step 5: Solve for x
    x = 26,930,122,816/112,331
  6. Step 6: Final answer
    x = 239,739.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.