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Finding the Third Proportional to 48,755.25 and 106,437.38

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Solution

The third proportional to 48,755.25 and 106,437.38 is: 232,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,755.25 : 106,437.38 = 106,437.38 : x
  2. Step 2: Convert to fraction form
    48,755.25/106,437.38 = 106,437.38/x
  3. Step 3: Cross multiply
    48,755.25x = 106,437.38 × 106,437.38
  4. Step 4: Simplify right side
    48,755.25x = 11,328,914,796.89
  5. Step 5: Solve for x
    x = 11,328,914,796.89/48,755.25
  6. Step 6: Final answer
    x = 232,362.97

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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.