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Finding the Third Proportional to 48,922 and 104,756

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Solution

The third proportional to 48,922 and 104,756 is: 224,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,922 : 104,756 = 104,756 : x
  2. Step 2: Convert to fraction form
    48,922/104,756 = 104,756/x
  3. Step 3: Cross multiply
    48,922x = 104,756 × 104,756
  4. Step 4: Simplify right side
    48,922x = 10,973,819,536
  5. Step 5: Solve for x
    x = 10,973,819,536/48,922
  6. Step 6: Final answer
    x = 224,312.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.