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Finding the Third Proportional to 55,379 and 83,645

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Solution

The third proportional to 55,379 and 83,645 is: 126,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,379 : 83,645 = 83,645 : x
  2. Step 2: Convert to fraction form
    55,379/83,645 = 83,645/x
  3. Step 3: Cross multiply
    55,379x = 83,645 × 83,645
  4. Step 4: Simplify right side
    55,379x = 6,996,486,025
  5. Step 5: Solve for x
    x = 6,996,486,025/55,379
  6. Step 6: Final answer
    x = 126,338.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.