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Finding the Third Proportional to 71,950 and 146,754

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Solution

The third proportional to 71,950 and 146,754 is: 299,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,950 : 146,754 = 146,754 : x
  2. Step 2: Convert to fraction form
    71,950/146,754 = 146,754/x
  3. Step 3: Cross multiply
    71,950x = 146,754 × 146,754
  4. Step 4: Simplify right side
    71,950x = 21,536,736,516
  5. Step 5: Solve for x
    x = 21,536,736,516/71,950
  6. Step 6: Final answer
    x = 299,329.21

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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.