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Finding the Third Proportional to 57,716 and 90,218

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Solution

The third proportional to 57,716 and 90,218 is: 141,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716 : 90,218 = 90,218 : x
  2. Step 2: Convert to fraction form
    57,716/90,218 = 90,218/x
  3. Step 3: Cross multiply
    57,716x = 90,218 × 90,218
  4. Step 4: Simplify right side
    57,716x = 8,139,287,524
  5. Step 5: Solve for x
    x = 8,139,287,524/57,716
  6. Step 6: Final answer
    x = 141,023.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.