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Finding the Third Proportional to 57,406.13 and 90,511.31

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Solution

The third proportional to 57,406.13 and 90,511.31 is: 142,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,406.13 : 90,511.31 = 90,511.31 : x
  2. Step 2: Convert to fraction form
    57,406.13/90,511.31 = 90,511.31/x
  3. Step 3: Cross multiply
    57,406.13x = 90,511.31 × 90,511.31
  4. Step 4: Simplify right side
    57,406.13x = 8,192,297,690.47
  5. Step 5: Solve for x
    x = 8,192,297,690.47/57,406.13
  6. Step 6: Final answer
    x = 142,707.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.