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Finding the Third Proportional to 34,540 and 75,324

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Solution

The third proportional to 34,540 and 75,324 is: 164,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540 : 75,324 = 75,324 : x
  2. Step 2: Convert to fraction form
    34,540/75,324 = 75,324/x
  3. Step 3: Cross multiply
    34,540x = 75,324 × 75,324
  4. Step 4: Simplify right side
    34,540x = 5,673,704,976
  5. Step 5: Solve for x
    x = 5,673,704,976/34,540
  6. Step 6: Final answer
    x = 164,264.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.