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Finding the Third Proportional to 69,650 and 150,964

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Solution

The third proportional to 69,650 and 150,964 is: 327,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,650 : 150,964 = 150,964 : x
  2. Step 2: Convert to fraction form
    69,650/150,964 = 150,964/x
  3. Step 3: Cross multiply
    69,650x = 150,964 × 150,964
  4. Step 4: Simplify right side
    69,650x = 22,790,129,296
  5. Step 5: Solve for x
    x = 22,790,129,296/69,650
  6. Step 6: Final answer
    x = 327,209.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.