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Finding the Third Proportional to 48,202 and 103,805

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Solution

The third proportional to 48,202 and 103,805 is: 223,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,202 : 103,805 = 103,805 : x
  2. Step 2: Convert to fraction form
    48,202/103,805 = 103,805/x
  3. Step 3: Cross multiply
    48,202x = 103,805 × 103,805
  4. Step 4: Simplify right side
    48,202x = 10,775,478,025
  5. Step 5: Solve for x
    x = 10,775,478,025/48,202
  6. Step 6: Final answer
    x = 223,548.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.