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Finding the Third Proportional to 48,145 and 103,903

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Solution

The third proportional to 48,145 and 103,903 is: 224,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,145 : 103,903 = 103,903 : x
  2. Step 2: Convert to fraction form
    48,145/103,903 = 103,903/x
  3. Step 3: Cross multiply
    48,145x = 103,903 × 103,903
  4. Step 4: Simplify right side
    48,145x = 10,795,833,409
  5. Step 5: Solve for x
    x = 10,795,833,409/48,145
  6. Step 6: Final answer
    x = 224,235.82

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Why These Related Problems?

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