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Finding the Third Proportional to 62,625 and 130,422

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Solution

The third proportional to 62,625 and 130,422 is: 271,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,625 : 130,422 = 130,422 : x
  2. Step 2: Convert to fraction form
    62,625/130,422 = 130,422/x
  3. Step 3: Cross multiply
    62,625x = 130,422 × 130,422
  4. Step 4: Simplify right side
    62,625x = 17,009,898,084
  5. Step 5: Solve for x
    x = 17,009,898,084/62,625
  6. Step 6: Final answer
    x = 271,615.14

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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.