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Finding the Third Proportional to 85,543.59 and 186,138

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Solution

The third proportional to 85,543.59 and 186,138 is: 405,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,543.59 : 186,138 = 186,138 : x
  2. Step 2: Convert to fraction form
    85,543.59/186,138 = 186,138/x
  3. Step 3: Cross multiply
    85,543.59x = 186,138 × 186,138
  4. Step 4: Simplify right side
    85,543.59x = 34,647,355,044
  5. Step 5: Solve for x
    x = 34,647,355,044/85,543.59
  6. Step 6: Final answer
    x = 405,025.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.