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Finding the Third Proportional to 53,081.75 and 74,405.75

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Solution

The third proportional to 53,081.75 and 74,405.75 is: 104,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,081.75 : 74,405.75 = 74,405.75 : x
  2. Step 2: Convert to fraction form
    53,081.75/74,405.75 = 74,405.75/x
  3. Step 3: Cross multiply
    53,081.75x = 74,405.75 × 74,405.75
  4. Step 4: Simplify right side
    53,081.75x = 5,536,215,633.06
  5. Step 5: Solve for x
    x = 5,536,215,633.06/53,081.75
  6. Step 6: Final answer
    x = 104,296.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.