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Finding the Third Proportional to 34,757 and 76,426

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Solution

The third proportional to 34,757 and 76,426 is: 168,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,757 : 76,426 = 76,426 : x
  2. Step 2: Convert to fraction form
    34,757/76,426 = 76,426/x
  3. Step 3: Cross multiply
    34,757x = 76,426 × 76,426
  4. Step 4: Simplify right side
    34,757x = 5,840,933,476
  5. Step 5: Solve for x
    x = 5,840,933,476/34,757
  6. Step 6: Final answer
    x = 168,050.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.