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Finding the Third Proportional to 26,786 and 63,137

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Solution

The third proportional to 26,786 and 63,137 is: 148,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,786 : 63,137 = 63,137 : x
  2. Step 2: Convert to fraction form
    26,786/63,137 = 63,137/x
  3. Step 3: Cross multiply
    26,786x = 63,137 × 63,137
  4. Step 4: Simplify right side
    26,786x = 3,986,280,769
  5. Step 5: Solve for x
    x = 3,986,280,769/26,786
  6. Step 6: Final answer
    x = 148,819.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.