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Finding the Third Proportional to 57,596.25 and 90,156.75

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Solution

The third proportional to 57,596.25 and 90,156.75 is: 141,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,596.25 : 90,156.75 = 90,156.75 : x
  2. Step 2: Convert to fraction form
    57,596.25/90,156.75 = 90,156.75/x
  3. Step 3: Cross multiply
    57,596.25x = 90,156.75 × 90,156.75
  4. Step 4: Simplify right side
    57,596.25x = 8,128,239,570.56
  5. Step 5: Solve for x
    x = 8,128,239,570.56/57,596.25
  6. Step 6: Final answer
    x = 141,124.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.