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Finding the Third Proportional to 47,601 and 104,545.13

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Solution

The third proportional to 47,601 and 104,545.13 is: 229,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,601 : 104,545.13 = 104,545.13 : x
  2. Step 2: Convert to fraction form
    47,601/104,545.13 = 104,545.13/x
  3. Step 3: Cross multiply
    47,601x = 104,545.13 × 104,545.13
  4. Step 4: Simplify right side
    47,601x = 10,929,683,161.27
  5. Step 5: Solve for x
    x = 10,929,683,161.27/47,601
  6. Step 6: Final answer
    x = 229,610.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.