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Finding the Third Proportional to 48,403 and 104,223

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Solution

The third proportional to 48,403 and 104,223 is: 224,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,403 : 104,223 = 104,223 : x
  2. Step 2: Convert to fraction form
    48,403/104,223 = 104,223/x
  3. Step 3: Cross multiply
    48,403x = 104,223 × 104,223
  4. Step 4: Simplify right side
    48,403x = 10,862,433,729
  5. Step 5: Solve for x
    x = 10,862,433,729/48,403
  6. Step 6: Final answer
    x = 224,416.54

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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.