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Finding the Third Proportional to 65,834.96 and 141,662.36

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Solution

The third proportional to 65,834.96 and 141,662.36 is: 304,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,834.96 : 141,662.36 = 141,662.36 : x
  2. Step 2: Convert to fraction form
    65,834.96/141,662.36 = 141,662.36/x
  3. Step 3: Cross multiply
    65,834.96x = 141,662.36 × 141,662.36
  4. Step 4: Simplify right side
    65,834.96x = 20,068,222,956.95
  5. Step 5: Solve for x
    x = 20,068,222,956.95/65,834.96
  6. Step 6: Final answer
    x = 304,826.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.