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Finding the Third Proportional to 34,314 and 52,137

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Solution

The third proportional to 34,314 and 52,137 is: 79,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,314 : 52,137 = 52,137 : x
  2. Step 2: Convert to fraction form
    34,314/52,137 = 52,137/x
  3. Step 3: Cross multiply
    34,314x = 52,137 × 52,137
  4. Step 4: Simplify right side
    34,314x = 2,718,266,769
  5. Step 5: Solve for x
    x = 2,718,266,769/34,314
  6. Step 6: Final answer
    x = 79,217.43

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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.