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Finding the Third Proportional to 56,824.88 and 85,237.31

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Solution

The third proportional to 56,824.88 and 85,237.31 is: 127,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,824.88 : 85,237.31 = 85,237.31 : x
  2. Step 2: Convert to fraction form
    56,824.88/85,237.31 = 85,237.31/x
  3. Step 3: Cross multiply
    56,824.88x = 85,237.31 × 85,237.31
  4. Step 4: Simplify right side
    56,824.88x = 7,265,399,442.22
  5. Step 5: Solve for x
    x = 7,265,399,442.22/56,824.88
  6. Step 6: Final answer
    x = 127,855.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.