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Finding the Third Proportional to 109,556 and 165,524

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Solution

The third proportional to 109,556 and 165,524 is: 250,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,556 : 165,524 = 165,524 : x
  2. Step 2: Convert to fraction form
    109,556/165,524 = 165,524/x
  3. Step 3: Cross multiply
    109,556x = 165,524 × 165,524
  4. Step 4: Simplify right side
    109,556x = 27,398,194,576
  5. Step 5: Solve for x
    x = 27,398,194,576/109,556
  6. Step 6: Final answer
    x = 250,083.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.