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Finding the Third Proportional to 92,627 and 143,517

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Solution

The third proportional to 92,627 and 143,517 is: 222,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,627 : 143,517 = 143,517 : x
  2. Step 2: Convert to fraction form
    92,627/143,517 = 143,517/x
  3. Step 3: Cross multiply
    92,627x = 143,517 × 143,517
  4. Step 4: Simplify right side
    92,627x = 20,597,129,289
  5. Step 5: Solve for x
    x = 20,597,129,289/92,627
  6. Step 6: Final answer
    x = 222,366.36

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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.