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Finding the Third Proportional to 62,636 and 131,426

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Solution

The third proportional to 62,636 and 131,426 is: 275,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,636 : 131,426 = 131,426 : x
  2. Step 2: Convert to fraction form
    62,636/131,426 = 131,426/x
  3. Step 3: Cross multiply
    62,636x = 131,426 × 131,426
  4. Step 4: Simplify right side
    62,636x = 17,272,793,476
  5. Step 5: Solve for x
    x = 17,272,793,476/62,636
  6. Step 6: Final answer
    x = 275,764.63

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