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Finding the Third Proportional to 53,723.25 and 114,837.75

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Solution

The third proportional to 53,723.25 and 114,837.75 is: 245,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,723.25 : 114,837.75 = 114,837.75 : x
  2. Step 2: Convert to fraction form
    53,723.25/114,837.75 = 114,837.75/x
  3. Step 3: Cross multiply
    53,723.25x = 114,837.75 × 114,837.75
  4. Step 4: Simplify right side
    53,723.25x = 13,187,708,825.06
  5. Step 5: Solve for x
    x = 13,187,708,825.06/53,723.25
  6. Step 6: Final answer
    x = 245,474.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.