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Finding the Third Proportional to 75,726 and 165,206.75

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Solution

The third proportional to 75,726 and 165,206.75 is: 360,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,726 : 165,206.75 = 165,206.75 : x
  2. Step 2: Convert to fraction form
    75,726/165,206.75 = 165,206.75/x
  3. Step 3: Cross multiply
    75,726x = 165,206.75 × 165,206.75
  4. Step 4: Simplify right side
    75,726x = 27,293,270,245.56
  5. Step 5: Solve for x
    x = 27,293,270,245.56/75,726
  6. Step 6: Final answer
    x = 360,421.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.