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Finding the Third Proportional to 48,850 and 104,608

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Solution

The third proportional to 48,850 and 104,608 is: 224,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,850 : 104,608 = 104,608 : x
  2. Step 2: Convert to fraction form
    48,850/104,608 = 104,608/x
  3. Step 3: Cross multiply
    48,850x = 104,608 × 104,608
  4. Step 4: Simplify right side
    48,850x = 10,942,833,664
  5. Step 5: Solve for x
    x = 10,942,833,664/48,850
  6. Step 6: Final answer
    x = 224,008.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.