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Finding the Third Proportional to 34,072 and 69,525

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Solution

The third proportional to 34,072 and 69,525 is: 141,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072 : 69,525 = 69,525 : x
  2. Step 2: Convert to fraction form
    34,072/69,525 = 69,525/x
  3. Step 3: Cross multiply
    34,072x = 69,525 × 69,525
  4. Step 4: Simplify right side
    34,072x = 4,833,725,625
  5. Step 5: Solve for x
    x = 4,833,725,625/34,072
  6. Step 6: Final answer
    x = 141,867.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.