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Finding the Third Proportional to 75,586 and 165,716

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Solution

The third proportional to 75,586 and 165,716 is: 363,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,586 : 165,716 = 165,716 : x
  2. Step 2: Convert to fraction form
    75,586/165,716 = 165,716/x
  3. Step 3: Cross multiply
    75,586x = 165,716 × 165,716
  4. Step 4: Simplify right side
    75,586x = 27,461,792,656
  5. Step 5: Solve for x
    x = 27,461,792,656/75,586
  6. Step 6: Final answer
    x = 363,318.51

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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.