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Finding the Third Proportional to 57,745.13 and 89,374.31

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Solution

The third proportional to 57,745.13 and 89,374.31 is: 138,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745.13 : 89,374.31 = 89,374.31 : x
  2. Step 2: Convert to fraction form
    57,745.13/89,374.31 = 89,374.31/x
  3. Step 3: Cross multiply
    57,745.13x = 89,374.31 × 89,374.31
  4. Step 4: Simplify right side
    57,745.13x = 7,987,767,734.85
  5. Step 5: Solve for x
    x = 7,987,767,734.85/57,745.13
  6. Step 6: Final answer
    x = 138,328.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.