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Finding the Third Proportional to 48,806 and 80,778

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Solution

The third proportional to 48,806 and 80,778 is: 133,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,806 : 80,778 = 80,778 : x
  2. Step 2: Convert to fraction form
    48,806/80,778 = 80,778/x
  3. Step 3: Cross multiply
    48,806x = 80,778 × 80,778
  4. Step 4: Simplify right side
    48,806x = 6,525,085,284
  5. Step 5: Solve for x
    x = 6,525,085,284/48,806
  6. Step 6: Final answer
    x = 133,694.33

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.