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Finding the Third Proportional to 31,152 and 67,326

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Solution

The third proportional to 31,152 and 67,326 is: 145,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152 : 67,326 = 67,326 : x
  2. Step 2: Convert to fraction form
    31,152/67,326 = 67,326/x
  3. Step 3: Cross multiply
    31,152x = 67,326 × 67,326
  4. Step 4: Simplify right side
    31,152x = 4,532,790,276
  5. Step 5: Solve for x
    x = 4,532,790,276/31,152
  6. Step 6: Final answer
    x = 145,505.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.