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Finding the Third Proportional to 62,647 and 130,478

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Solution

The third proportional to 62,647 and 130,478 is: 271,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,647 : 130,478 = 130,478 : x
  2. Step 2: Convert to fraction form
    62,647/130,478 = 130,478/x
  3. Step 3: Cross multiply
    62,647x = 130,478 × 130,478
  4. Step 4: Simplify right side
    62,647x = 17,024,508,484
  5. Step 5: Solve for x
    x = 17,024,508,484/62,647
  6. Step 6: Final answer
    x = 271,752.97

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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.