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Finding the Third Proportional to 75,616 and 165,704

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Solution

The third proportional to 75,616 and 165,704 is: 363,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616 : 165,704 = 165,704 : x
  2. Step 2: Convert to fraction form
    75,616/165,704 = 165,704/x
  3. Step 3: Cross multiply
    75,616x = 165,704 × 165,704
  4. Step 4: Simplify right side
    75,616x = 27,457,815,616
  5. Step 5: Solve for x
    x = 27,457,815,616/75,616
  6. Step 6: Final answer
    x = 363,121.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.