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Finding the Third Proportional to 34,114 and 51,701

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Solution

The third proportional to 34,114 and 51,701 is: 78,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114 : 51,701 = 51,701 : x
  2. Step 2: Convert to fraction form
    34,114/51,701 = 51,701/x
  3. Step 3: Cross multiply
    34,114x = 51,701 × 51,701
  4. Step 4: Simplify right side
    34,114x = 2,672,993,401
  5. Step 5: Solve for x
    x = 2,672,993,401/34,114
  6. Step 6: Final answer
    x = 78,354.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.