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Finding the Third Proportional to 62,650 and 130,483

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Solution

The third proportional to 62,650 and 130,483 is: 271,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,650 : 130,483 = 130,483 : x
  2. Step 2: Convert to fraction form
    62,650/130,483 = 130,483/x
  3. Step 3: Cross multiply
    62,650x = 130,483 × 130,483
  4. Step 4: Simplify right side
    62,650x = 17,025,813,289
  5. Step 5: Solve for x
    x = 17,025,813,289/62,650
  6. Step 6: Final answer
    x = 271,760.79

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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.