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Finding the Third Proportional to 56,215.83 and 85,474.83

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Solution

The third proportional to 56,215.83 and 85,474.83 is: 129,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,215.83 : 85,474.83 = 85,474.83 : x
  2. Step 2: Convert to fraction form
    56,215.83/85,474.83 = 85,474.83/x
  3. Step 3: Cross multiply
    56,215.83x = 85,474.83 × 85,474.83
  4. Step 4: Simplify right side
    56,215.83x = 7,305,946,243.00
  5. Step 5: Solve for x
    x = 7,305,946,243.00/56,215.83
  6. Step 6: Final answer
    x = 129,962.44

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.