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Finding the Third Proportional to 48,736 and 106,778

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Solution

The third proportional to 48,736 and 106,778 is: 233,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,736 : 106,778 = 106,778 : x
  2. Step 2: Convert to fraction form
    48,736/106,778 = 106,778/x
  3. Step 3: Cross multiply
    48,736x = 106,778 × 106,778
  4. Step 4: Simplify right side
    48,736x = 11,401,541,284
  5. Step 5: Solve for x
    x = 11,401,541,284/48,736
  6. Step 6: Final answer
    x = 233,944.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.