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Finding the Third Proportional to 63,986.50 and 137,784.50

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Solution

The third proportional to 63,986.50 and 137,784.50 is: 296,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,986.50 : 137,784.50 = 137,784.50 : x
  2. Step 2: Convert to fraction form
    63,986.50/137,784.50 = 137,784.50/x
  3. Step 3: Cross multiply
    63,986.50x = 137,784.50 × 137,784.50
  4. Step 4: Simplify right side
    63,986.50x = 18,984,568,440.25
  5. Step 5: Solve for x
    x = 18,984,568,440.25/63,986.50
  6. Step 6: Final answer
    x = 296,696.47

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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.