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Finding the Third Proportional to 57,901.50 and 91,759.50

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Solution

The third proportional to 57,901.50 and 91,759.50 is: 145,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,901.50 : 91,759.50 = 91,759.50 : x
  2. Step 2: Convert to fraction form
    57,901.50/91,759.50 = 91,759.50/x
  3. Step 3: Cross multiply
    57,901.50x = 91,759.50 × 91,759.50
  4. Step 4: Simplify right side
    57,901.50x = 8,419,805,840.25
  5. Step 5: Solve for x
    x = 8,419,805,840.25/57,901.50
  6. Step 6: Final answer
    x = 145,416.02

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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.