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Finding the Third Proportional to 34,216.17 and 73,161.14

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Solution

The third proportional to 34,216.17 and 73,161.14 is: 156,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,216.17 : 73,161.14 = 73,161.14 : x
  2. Step 2: Convert to fraction form
    34,216.17/73,161.14 = 73,161.14/x
  3. Step 3: Cross multiply
    34,216.17x = 73,161.14 × 73,161.14
  4. Step 4: Simplify right side
    34,216.17x = 5,352,552,497.55
  5. Step 5: Solve for x
    x = 5,352,552,497.55/34,216.17
  6. Step 6: Final answer
    x = 156,433.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.