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Finding the Third Proportional to 31,214 and 66,802

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Solution

The third proportional to 31,214 and 66,802 is: 142,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214 : 66,802 = 66,802 : x
  2. Step 2: Convert to fraction form
    31,214/66,802 = 66,802/x
  3. Step 3: Cross multiply
    31,214x = 66,802 × 66,802
  4. Step 4: Simplify right side
    31,214x = 4,462,507,204
  5. Step 5: Solve for x
    x = 4,462,507,204/31,214
  6. Step 6: Final answer
    x = 142,964.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.