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Finding the Third Proportional to 62,622 and 130,419

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Solution

The third proportional to 62,622 and 130,419 is: 271,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,622 : 130,419 = 130,419 : x
  2. Step 2: Convert to fraction form
    62,622/130,419 = 130,419/x
  3. Step 3: Cross multiply
    62,622x = 130,419 × 130,419
  4. Step 4: Simplify right side
    62,622x = 17,009,115,561
  5. Step 5: Solve for x
    x = 17,009,115,561/62,622
  6. Step 6: Final answer
    x = 271,615.66

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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.