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Finding the Third Proportional to 76,876 and 165,608

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Solution

The third proportional to 76,876 and 165,608 is: 356,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876 : 165,608 = 165,608 : x
  2. Step 2: Convert to fraction form
    76,876/165,608 = 165,608/x
  3. Step 3: Cross multiply
    76,876x = 165,608 × 165,608
  4. Step 4: Simplify right side
    76,876x = 27,426,009,664
  5. Step 5: Solve for x
    x = 27,426,009,664/76,876
  6. Step 6: Final answer
    x = 356,756.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.