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Finding the Third Proportional to 56,514 and 76,754.25

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Solution

The third proportional to 56,514 and 76,754.25 is: 104,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,514 : 76,754.25 = 76,754.25 : x
  2. Step 2: Convert to fraction form
    56,514/76,754.25 = 76,754.25/x
  3. Step 3: Cross multiply
    56,514x = 76,754.25 × 76,754.25
  4. Step 4: Simplify right side
    56,514x = 5,891,214,893.06
  5. Step 5: Solve for x
    x = 5,891,214,893.06/56,514
  6. Step 6: Final answer
    x = 104,243.46

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.