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Finding the Third Proportional to 34,074 and 69,529

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Solution

The third proportional to 34,074 and 69,529 is: 141,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074 : 69,529 = 69,529 : x
  2. Step 2: Convert to fraction form
    34,074/69,529 = 69,529/x
  3. Step 3: Cross multiply
    34,074x = 69,529 × 69,529
  4. Step 4: Simplify right side
    34,074x = 4,834,281,841
  5. Step 5: Solve for x
    x = 4,834,281,841/34,074
  6. Step 6: Final answer
    x = 141,875.97

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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.