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Finding the Third Proportional to 62,796 and 94,834

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Solution

The third proportional to 62,796 and 94,834 is: 143,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,796 : 94,834 = 94,834 : x
  2. Step 2: Convert to fraction form
    62,796/94,834 = 94,834/x
  3. Step 3: Cross multiply
    62,796x = 94,834 × 94,834
  4. Step 4: Simplify right side
    62,796x = 8,993,487,556
  5. Step 5: Solve for x
    x = 8,993,487,556/62,796
  6. Step 6: Final answer
    x = 143,217.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.