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Finding the Third Proportional to 49,151.25 and 104,728.50

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Solution

The third proportional to 49,151.25 and 104,728.50 is: 223,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,151.25 : 104,728.50 = 104,728.50 : x
  2. Step 2: Convert to fraction form
    49,151.25/104,728.50 = 104,728.50/x
  3. Step 3: Cross multiply
    49,151.25x = 104,728.50 × 104,728.50
  4. Step 4: Simplify right side
    49,151.25x = 10,968,058,712.25
  5. Step 5: Solve for x
    x = 10,968,058,712.25/49,151.25
  6. Step 6: Final answer
    x = 223,149.13

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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.