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Finding the Third Proportional to 68,552 and 104,775

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Solution

The third proportional to 68,552 and 104,775 is: 160,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,552 : 104,775 = 104,775 : x
  2. Step 2: Convert to fraction form
    68,552/104,775 = 104,775/x
  3. Step 3: Cross multiply
    68,552x = 104,775 × 104,775
  4. Step 4: Simplify right side
    68,552x = 10,977,800,625
  5. Step 5: Solve for x
    x = 10,977,800,625/68,552
  6. Step 6: Final answer
    x = 160,138.30

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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.