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Finding the Third Proportional to 34,518 and 71,238

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Solution

The third proportional to 34,518 and 71,238 is: 147,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,518 : 71,238 = 71,238 : x
  2. Step 2: Convert to fraction form
    34,518/71,238 = 71,238/x
  3. Step 3: Cross multiply
    34,518x = 71,238 × 71,238
  4. Step 4: Simplify right side
    34,518x = 5,074,852,644
  5. Step 5: Solve for x
    x = 5,074,852,644/34,518
  6. Step 6: Final answer
    x = 147,020.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.