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Finding the Third Proportional to 62,647 and 130,477

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Solution

The third proportional to 62,647 and 130,477 is: 271,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,647 : 130,477 = 130,477 : x
  2. Step 2: Convert to fraction form
    62,647/130,477 = 130,477/x
  3. Step 3: Cross multiply
    62,647x = 130,477 × 130,477
  4. Step 4: Simplify right side
    62,647x = 17,024,247,529
  5. Step 5: Solve for x
    x = 17,024,247,529/62,647
  6. Step 6: Final answer
    x = 271,748.81

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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.