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Finding the Third Proportional to 112,306.50 and 164,067.75

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Solution

The third proportional to 112,306.50 and 164,067.75 is: 239,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,306.50 : 164,067.75 = 164,067.75 : x
  2. Step 2: Convert to fraction form
    112,306.50/164,067.75 = 164,067.75/x
  3. Step 3: Cross multiply
    112,306.50x = 164,067.75 × 164,067.75
  4. Step 4: Simplify right side
    112,306.50x = 26,918,226,590.06
  5. Step 5: Solve for x
    x = 26,918,226,590.06/112,306.50
  6. Step 6: Final answer
    x = 239,685.38

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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.