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Finding the Third Proportional to 57,841 and 78,799

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Solution

The third proportional to 57,841 and 78,799 is: 107,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,841 : 78,799 = 78,799 : x
  2. Step 2: Convert to fraction form
    57,841/78,799 = 78,799/x
  3. Step 3: Cross multiply
    57,841x = 78,799 × 78,799
  4. Step 4: Simplify right side
    57,841x = 6,209,282,401
  5. Step 5: Solve for x
    x = 6,209,282,401/57,841
  6. Step 6: Final answer
    x = 107,350.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.