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Finding the Third Proportional to 34,149 and 52,260

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Solution

The third proportional to 34,149 and 52,260 is: 79,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149 : 52,260 = 52,260 : x
  2. Step 2: Convert to fraction form
    34,149/52,260 = 52,260/x
  3. Step 3: Cross multiply
    34,149x = 52,260 × 52,260
  4. Step 4: Simplify right side
    34,149x = 2,731,107,600
  5. Step 5: Solve for x
    x = 2,731,107,600/34,149
  6. Step 6: Final answer
    x = 79,976.21

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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.