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Finding the Third Proportional to 52,010.63 and 111,921.38

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Solution

The third proportional to 52,010.63 and 111,921.38 is: 240,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010.63 : 111,921.38 = 111,921.38 : x
  2. Step 2: Convert to fraction form
    52,010.63/111,921.38 = 111,921.38/x
  3. Step 3: Cross multiply
    52,010.63x = 111,921.38 × 111,921.38
  4. Step 4: Simplify right side
    52,010.63x = 12,526,394,181.89
  5. Step 5: Solve for x
    x = 12,526,394,181.89/52,010.63
  6. Step 6: Final answer
    x = 240,842.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.