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Finding the Third Proportional to 34,491 and 75,606

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Solution

The third proportional to 34,491 and 75,606 is: 165,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491 : 75,606 = 75,606 : x
  2. Step 2: Convert to fraction form
    34,491/75,606 = 75,606/x
  3. Step 3: Cross multiply
    34,491x = 75,606 × 75,606
  4. Step 4: Simplify right side
    34,491x = 5,716,267,236
  5. Step 5: Solve for x
    x = 5,716,267,236/34,491
  6. Step 6: Final answer
    x = 165,732.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.