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Finding the Third Proportional to 75,851 and 165,526

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Solution

The third proportional to 75,851 and 165,526 is: 361,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,851 : 165,526 = 165,526 : x
  2. Step 2: Convert to fraction form
    75,851/165,526 = 165,526/x
  3. Step 3: Cross multiply
    75,851x = 165,526 × 165,526
  4. Step 4: Simplify right side
    75,851x = 27,398,856,676
  5. Step 5: Solve for x
    x = 27,398,856,676/75,851
  6. Step 6: Final answer
    x = 361,219.45

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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.