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Finding the Third Proportional to 49,207.50 and 104,565.94

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Solution

The third proportional to 49,207.50 and 104,565.94 is: 222,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207.50 : 104,565.94 = 104,565.94 : x
  2. Step 2: Convert to fraction form
    49,207.50/104,565.94 = 104,565.94/x
  3. Step 3: Cross multiply
    49,207.50x = 104,565.94 × 104,565.94
  4. Step 4: Simplify right side
    49,207.50x = 10,934,035,285.25
  5. Step 5: Solve for x
    x = 10,934,035,285.25/49,207.50
  6. Step 6: Final answer
    x = 222,202.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.