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Finding the Third Proportional to 56,514 and 76,753.50

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Solution

The third proportional to 56,514 and 76,753.50 is: 104,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,514 : 76,753.50 = 76,753.50 : x
  2. Step 2: Convert to fraction form
    56,514/76,753.50 = 76,753.50/x
  3. Step 3: Cross multiply
    56,514x = 76,753.50 × 76,753.50
  4. Step 4: Simplify right side
    56,514x = 5,891,099,762.25
  5. Step 5: Solve for x
    x = 5,891,099,762.25/56,514
  6. Step 6: Final answer
    x = 104,241.42

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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.