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Finding the Third Proportional to 71,326 and 152,775

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Solution

The third proportional to 71,326 and 152,775 is: 327,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,326 : 152,775 = 152,775 : x
  2. Step 2: Convert to fraction form
    71,326/152,775 = 152,775/x
  3. Step 3: Cross multiply
    71,326x = 152,775 × 152,775
  4. Step 4: Simplify right side
    71,326x = 23,340,200,625
  5. Step 5: Solve for x
    x = 23,340,200,625/71,326
  6. Step 6: Final answer
    x = 327,232.71

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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.