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Finding the Third Proportional to 34,242 and 69,426

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Solution

The third proportional to 34,242 and 69,426 is: 140,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242 : 69,426 = 69,426 : x
  2. Step 2: Convert to fraction form
    34,242/69,426 = 69,426/x
  3. Step 3: Cross multiply
    34,242x = 69,426 × 69,426
  4. Step 4: Simplify right side
    34,242x = 4,819,969,476
  5. Step 5: Solve for x
    x = 4,819,969,476/34,242
  6. Step 6: Final answer
    x = 140,761.91

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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.