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Finding the Third Proportional to 50,202.75 and 105,582.19

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Solution

The third proportional to 50,202.75 and 105,582.19 is: 222,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,202.75 : 105,582.19 = 105,582.19 : x
  2. Step 2: Convert to fraction form
    50,202.75/105,582.19 = 105,582.19/x
  3. Step 3: Cross multiply
    50,202.75x = 105,582.19 × 105,582.19
  4. Step 4: Simplify right side
    50,202.75x = 11,147,598,317.29
  5. Step 5: Solve for x
    x = 11,147,598,317.29/50,202.75
  6. Step 6: Final answer
    x = 222,051.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.