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Finding the Third Proportional to 62,634 and 131,422

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Solution

The third proportional to 62,634 and 131,422 is: 275,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,634 : 131,422 = 131,422 : x
  2. Step 2: Convert to fraction form
    62,634/131,422 = 131,422/x
  3. Step 3: Cross multiply
    62,634x = 131,422 × 131,422
  4. Step 4: Simplify right side
    62,634x = 17,271,742,084
  5. Step 5: Solve for x
    x = 17,271,742,084/62,634
  6. Step 6: Final answer
    x = 275,756.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.