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Finding the Third Proportional to 62,774 and 96,165

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Solution

The third proportional to 62,774 and 96,165 is: 147,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,774 : 96,165 = 96,165 : x
  2. Step 2: Convert to fraction form
    62,774/96,165 = 96,165/x
  3. Step 3: Cross multiply
    62,774x = 96,165 × 96,165
  4. Step 4: Simplify right side
    62,774x = 9,247,707,225
  5. Step 5: Solve for x
    x = 9,247,707,225/62,774
  6. Step 6: Final answer
    x = 147,317.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.