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Finding the Third Proportional to 92,629 and 143,519

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Solution

The third proportional to 92,629 and 143,519 is: 222,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,629 : 143,519 = 143,519 : x
  2. Step 2: Convert to fraction form
    92,629/143,519 = 143,519/x
  3. Step 3: Cross multiply
    92,629x = 143,519 × 143,519
  4. Step 4: Simplify right side
    92,629x = 20,597,703,361
  5. Step 5: Solve for x
    x = 20,597,703,361/92,629
  6. Step 6: Final answer
    x = 222,367.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.