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Finding the Third Proportional to 49,218.75 and 105,439.50

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Solution

The third proportional to 49,218.75 and 105,439.50 is: 225,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218.75 : 105,439.50 = 105,439.50 : x
  2. Step 2: Convert to fraction form
    49,218.75/105,439.50 = 105,439.50/x
  3. Step 3: Cross multiply
    49,218.75x = 105,439.50 × 105,439.50
  4. Step 4: Simplify right side
    49,218.75x = 11,117,488,160.25
  5. Step 5: Solve for x
    x = 11,117,488,160.25/49,218.75
  6. Step 6: Final answer
    x = 225,879.12

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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.