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Finding the Third Proportional to 69,732 and 106,326

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Solution

The third proportional to 69,732 and 106,326 is: 162,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,732 : 106,326 = 106,326 : x
  2. Step 2: Convert to fraction form
    69,732/106,326 = 106,326/x
  3. Step 3: Cross multiply
    69,732x = 106,326 × 106,326
  4. Step 4: Simplify right side
    69,732x = 11,305,218,276
  5. Step 5: Solve for x
    x = 11,305,218,276/69,732
  6. Step 6: Final answer
    x = 162,123.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.