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Finding the Third Proportional to 53,468.44 and 74,754.56

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Solution

The third proportional to 53,468.44 and 74,754.56 is: 104,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,468.44 : 74,754.56 = 74,754.56 : x
  2. Step 2: Convert to fraction form
    53,468.44/74,754.56 = 74,754.56/x
  3. Step 3: Cross multiply
    53,468.44x = 74,754.56 × 74,754.56
  4. Step 4: Simplify right side
    53,468.44x = 5,588,244,614.57
  5. Step 5: Solve for x
    x = 5,588,244,614.57/53,468.44
  6. Step 6: Final answer
    x = 104,514.83

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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.