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Finding the Third Proportional to 48,848 and 106,538

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Solution

The third proportional to 48,848 and 106,538 is: 232,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,848 : 106,538 = 106,538 : x
  2. Step 2: Convert to fraction form
    48,848/106,538 = 106,538/x
  3. Step 3: Cross multiply
    48,848x = 106,538 × 106,538
  4. Step 4: Simplify right side
    48,848x = 11,350,345,444
  5. Step 5: Solve for x
    x = 11,350,345,444/48,848
  6. Step 6: Final answer
    x = 232,360.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.