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Finding the Third Proportional to 48,234 and 104,267

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Solution

The third proportional to 48,234 and 104,267 is: 225,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,234 : 104,267 = 104,267 : x
  2. Step 2: Convert to fraction form
    48,234/104,267 = 104,267/x
  3. Step 3: Cross multiply
    48,234x = 104,267 × 104,267
  4. Step 4: Simplify right side
    48,234x = 10,871,607,289
  5. Step 5: Solve for x
    x = 10,871,607,289/48,234
  6. Step 6: Final answer
    x = 225,393.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.