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Finding the Third Proportional to 112,284.56 and 164,046.09

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Solution

The third proportional to 112,284.56 and 164,046.09 is: 239,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,284.56 : 164,046.09 = 164,046.09 : x
  2. Step 2: Convert to fraction form
    112,284.56/164,046.09 = 164,046.09/x
  3. Step 3: Cross multiply
    112,284.56x = 164,046.09 × 164,046.09
  4. Step 4: Simplify right side
    112,284.56x = 26,911,120,874.63
  5. Step 5: Solve for x
    x = 26,911,120,874.63/112,284.56
  6. Step 6: Final answer
    x = 239,668.93

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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.