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Finding the Third Proportional to 52,627 and 68,278

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Solution

The third proportional to 52,627 and 68,278 is: 88,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,627 : 68,278 = 68,278 : x
  2. Step 2: Convert to fraction form
    52,627/68,278 = 68,278/x
  3. Step 3: Cross multiply
    52,627x = 68,278 × 68,278
  4. Step 4: Simplify right side
    52,627x = 4,661,885,284
  5. Step 5: Solve for x
    x = 4,661,885,284/52,627
  6. Step 6: Final answer
    x = 88,583.53

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.