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Finding the Third Proportional to 49,604 and 106,616

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Solution

The third proportional to 49,604 and 106,616 is: 229,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,604 : 106,616 = 106,616 : x
  2. Step 2: Convert to fraction form
    49,604/106,616 = 106,616/x
  3. Step 3: Cross multiply
    49,604x = 106,616 × 106,616
  4. Step 4: Simplify right side
    49,604x = 11,366,971,456
  5. Step 5: Solve for x
    x = 11,366,971,456/49,604
  6. Step 6: Final answer
    x = 229,154.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.