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Finding the Third Proportional to 50,892.75 and 111,214.25

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Solution

The third proportional to 50,892.75 and 111,214.25 is: 243,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,892.75 : 111,214.25 = 111,214.25 : x
  2. Step 2: Convert to fraction form
    50,892.75/111,214.25 = 111,214.25/x
  3. Step 3: Cross multiply
    50,892.75x = 111,214.25 × 111,214.25
  4. Step 4: Simplify right side
    50,892.75x = 12,368,609,403.06
  5. Step 5: Solve for x
    x = 12,368,609,403.06/50,892.75
  6. Step 6: Final answer
    x = 243,032.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.