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Finding the Third Proportional to 57,555 and 91,624.50

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Solution

The third proportional to 57,555 and 91,624.50 is: 145,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,555 : 91,624.50 = 91,624.50 : x
  2. Step 2: Convert to fraction form
    57,555/91,624.50 = 91,624.50/x
  3. Step 3: Cross multiply
    57,555x = 91,624.50 × 91,624.50
  4. Step 4: Simplify right side
    57,555x = 8,395,049,000.25
  5. Step 5: Solve for x
    x = 8,395,049,000.25/57,555
  6. Step 6: Final answer
    x = 145,861.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.