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Finding the Third Proportional to 34,294 and 69,542

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Solution

The third proportional to 34,294 and 69,542 is: 141,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294 : 69,542 = 69,542 : x
  2. Step 2: Convert to fraction form
    34,294/69,542 = 69,542/x
  3. Step 3: Cross multiply
    34,294x = 69,542 × 69,542
  4. Step 4: Simplify right side
    34,294x = 4,836,089,764
  5. Step 5: Solve for x
    x = 4,836,089,764/34,294
  6. Step 6: Final answer
    x = 141,018.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.