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Finding the Third Proportional to 94,204 and 141,308

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Solution

The third proportional to 94,204 and 141,308 is: 211,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,204 : 141,308 = 141,308 : x
  2. Step 2: Convert to fraction form
    94,204/141,308 = 141,308/x
  3. Step 3: Cross multiply
    94,204x = 141,308 × 141,308
  4. Step 4: Simplify right side
    94,204x = 19,967,950,864
  5. Step 5: Solve for x
    x = 19,967,950,864/94,204
  6. Step 6: Final answer
    x = 211,965.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.