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Finding the Third Proportional to 49,065.75 and 105,903

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Solution

The third proportional to 49,065.75 and 105,903 is: 228,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065.75 : 105,903 = 105,903 : x
  2. Step 2: Convert to fraction form
    49,065.75/105,903 = 105,903/x
  3. Step 3: Cross multiply
    49,065.75x = 105,903 × 105,903
  4. Step 4: Simplify right side
    49,065.75x = 11,215,445,409
  5. Step 5: Solve for x
    x = 11,215,445,409/49,065.75
  6. Step 6: Final answer
    x = 228,579.92

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