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Finding the Third Proportional to 68,250 and 104,549

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Solution

The third proportional to 68,250 and 104,549 is: 160,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,250 : 104,549 = 104,549 : x
  2. Step 2: Convert to fraction form
    68,250/104,549 = 104,549/x
  3. Step 3: Cross multiply
    68,250x = 104,549 × 104,549
  4. Step 4: Simplify right side
    68,250x = 10,930,493,401
  5. Step 5: Solve for x
    x = 10,930,493,401/68,250
  6. Step 6: Final answer
    x = 160,153.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.