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Finding the Third Proportional to 62,467 and 130,115

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Solution

The third proportional to 62,467 and 130,115 is: 271,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,467 : 130,115 = 130,115 : x
  2. Step 2: Convert to fraction form
    62,467/130,115 = 130,115/x
  3. Step 3: Cross multiply
    62,467x = 130,115 × 130,115
  4. Step 4: Simplify right side
    62,467x = 16,929,913,225
  5. Step 5: Solve for x
    x = 16,929,913,225/62,467
  6. Step 6: Final answer
    x = 271,021.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.