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Finding the Third Proportional to 49,064 and 104,660

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Solution

The third proportional to 49,064 and 104,660 is: 223,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,064 : 104,660 = 104,660 : x
  2. Step 2: Convert to fraction form
    49,064/104,660 = 104,660/x
  3. Step 3: Cross multiply
    49,064x = 104,660 × 104,660
  4. Step 4: Simplify right side
    49,064x = 10,953,715,600
  5. Step 5: Solve for x
    x = 10,953,715,600/49,064
  6. Step 6: Final answer
    x = 223,253.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.