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Finding the Third Proportional to 109,869.99 and 165,097.52

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Solution

The third proportional to 109,869.99 and 165,097.52 is: 248,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,869.99 : 165,097.52 = 165,097.52 : x
  2. Step 2: Convert to fraction form
    109,869.99/165,097.52 = 165,097.52/x
  3. Step 3: Cross multiply
    109,869.99x = 165,097.52 × 165,097.52
  4. Step 4: Simplify right side
    109,869.99x = 27,257,192,245.20
  5. Step 5: Solve for x
    x = 27,257,192,245.20/109,869.99
  6. Step 6: Final answer
    x = 248,085.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.