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Finding the Third Proportional to 31,762 and 68,964

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Solution

The third proportional to 31,762 and 68,964 is: 149,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762 : 68,964 = 68,964 : x
  2. Step 2: Convert to fraction form
    31,762/68,964 = 68,964/x
  3. Step 3: Cross multiply
    31,762x = 68,964 × 68,964
  4. Step 4: Simplify right side
    31,762x = 4,756,033,296
  5. Step 5: Solve for x
    x = 4,756,033,296/31,762
  6. Step 6: Final answer
    x = 149,739.73

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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.