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Finding the Third Proportional to 48,602 and 103,945

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Solution

The third proportional to 48,602 and 103,945 is: 222,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,602 : 103,945 = 103,945 : x
  2. Step 2: Convert to fraction form
    48,602/103,945 = 103,945/x
  3. Step 3: Cross multiply
    48,602x = 103,945 × 103,945
  4. Step 4: Simplify right side
    48,602x = 10,804,563,025
  5. Step 5: Solve for x
    x = 10,804,563,025/48,602
  6. Step 6: Final answer
    x = 222,306.96

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