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Finding the Third Proportional to 62,328 and 96,672

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Solution

The third proportional to 62,328 and 96,672 is: 149,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,328 : 96,672 = 96,672 : x
  2. Step 2: Convert to fraction form
    62,328/96,672 = 96,672/x
  3. Step 3: Cross multiply
    62,328x = 96,672 × 96,672
  4. Step 4: Simplify right side
    62,328x = 9,345,475,584
  5. Step 5: Solve for x
    x = 9,345,475,584/62,328
  6. Step 6: Final answer
    x = 149,940.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.