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Finding the Third Proportional to 35,890 and 77,266

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Solution

The third proportional to 35,890 and 77,266 is: 166,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,890 : 77,266 = 77,266 : x
  2. Step 2: Convert to fraction form
    35,890/77,266 = 77,266/x
  3. Step 3: Cross multiply
    35,890x = 77,266 × 77,266
  4. Step 4: Simplify right side
    35,890x = 5,970,034,756
  5. Step 5: Solve for x
    x = 5,970,034,756/35,890
  6. Step 6: Final answer
    x = 166,342.57

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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.