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Finding the Third Proportional to 106,103.25 and 162,845.44

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Solution

The third proportional to 106,103.25 and 162,845.44 is: 249,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,103.25 : 162,845.44 = 162,845.44 : x
  2. Step 2: Convert to fraction form
    106,103.25/162,845.44 = 162,845.44/x
  3. Step 3: Cross multiply
    106,103.25x = 162,845.44 × 162,845.44
  4. Step 4: Simplify right side
    106,103.25x = 26,518,636,514.57
  5. Step 5: Solve for x
    x = 26,518,636,514.57/106,103.25
  6. Step 6: Final answer
    x = 249,932.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.