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Finding the Third Proportional to 34,568 and 75,394

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Solution

The third proportional to 34,568 and 75,394 is: 164,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568 : 75,394 = 75,394 : x
  2. Step 2: Convert to fraction form
    34,568/75,394 = 75,394/x
  3. Step 3: Cross multiply
    34,568x = 75,394 × 75,394
  4. Step 4: Simplify right side
    34,568x = 5,684,255,236
  5. Step 5: Solve for x
    x = 5,684,255,236/34,568
  6. Step 6: Final answer
    x = 164,436.91

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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.