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Finding the Third Proportional to 75,597 and 165,009

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Solution

The third proportional to 75,597 and 165,009 is: 360,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,597 : 165,009 = 165,009 : x
  2. Step 2: Convert to fraction form
    75,597/165,009 = 165,009/x
  3. Step 3: Cross multiply
    75,597x = 165,009 × 165,009
  4. Step 4: Simplify right side
    75,597x = 27,227,970,081
  5. Step 5: Solve for x
    x = 27,227,970,081/75,597
  6. Step 6: Final answer
    x = 360,172.63

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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.