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Finding the Third Proportional to 57,080 and 91,155

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Solution

The third proportional to 57,080 and 91,155 is: 145,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,080 : 91,155 = 91,155 : x
  2. Step 2: Convert to fraction form
    57,080/91,155 = 91,155/x
  3. Step 3: Cross multiply
    57,080x = 91,155 × 91,155
  4. Step 4: Simplify right side
    57,080x = 8,309,234,025
  5. Step 5: Solve for x
    x = 8,309,234,025/57,080
  6. Step 6: Final answer
    x = 145,571.72

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.