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Finding the Third Proportional to 65,716.50 and 141,790.50

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Solution

The third proportional to 65,716.50 and 141,790.50 is: 305,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.50 : 141,790.50 = 141,790.50 : x
  2. Step 2: Convert to fraction form
    65,716.50/141,790.50 = 141,790.50/x
  3. Step 3: Cross multiply
    65,716.50x = 141,790.50 × 141,790.50
  4. Step 4: Simplify right side
    65,716.50x = 20,104,545,890.25
  5. Step 5: Solve for x
    x = 20,104,545,890.25/65,716.50
  6. Step 6: Final answer
    x = 305,928.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.