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Finding the Third Proportional to 53,292.75 and 76,992.38

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Solution

The third proportional to 53,292.75 and 76,992.38 is: 111,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,292.75 : 76,992.38 = 76,992.38 : x
  2. Step 2: Convert to fraction form
    53,292.75/76,992.38 = 76,992.38/x
  3. Step 3: Cross multiply
    53,292.75x = 76,992.38 × 76,992.38
  4. Step 4: Simplify right side
    53,292.75x = 5,927,825,808.14
  5. Step 5: Solve for x
    x = 5,927,825,808.14/53,292.75
  6. Step 6: Final answer
    x = 111,231.37

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.