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Finding the Third Proportional to 75,586 and 165,494

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Solution

The third proportional to 75,586 and 165,494 is: 362,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,586 : 165,494 = 165,494 : x
  2. Step 2: Convert to fraction form
    75,586/165,494 = 165,494/x
  3. Step 3: Cross multiply
    75,586x = 165,494 × 165,494
  4. Step 4: Simplify right side
    75,586x = 27,388,264,036
  5. Step 5: Solve for x
    x = 27,388,264,036/75,586
  6. Step 6: Final answer
    x = 362,345.73

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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.