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Finding the Third Proportional to 75,839 and 165,055

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Solution

The third proportional to 75,839 and 165,055 is: 359,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,839 : 165,055 = 165,055 : x
  2. Step 2: Convert to fraction form
    75,839/165,055 = 165,055/x
  3. Step 3: Cross multiply
    75,839x = 165,055 × 165,055
  4. Step 4: Simplify right side
    75,839x = 27,243,153,025
  5. Step 5: Solve for x
    x = 27,243,153,025/75,839
  6. Step 6: Final answer
    x = 359,223.53

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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.