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Finding the Third Proportional to 63,269.44 and 137,046.09

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Solution

The third proportional to 63,269.44 and 137,046.09 is: 296,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,269.44 : 137,046.09 = 137,046.09 : x
  2. Step 2: Convert to fraction form
    63,269.44/137,046.09 = 137,046.09/x
  3. Step 3: Cross multiply
    63,269.44x = 137,046.09 × 137,046.09
  4. Step 4: Simplify right side
    63,269.44x = 18,781,631,812.13
  5. Step 5: Solve for x
    x = 18,781,631,812.13/63,269.44
  6. Step 6: Final answer
    x = 296,851.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.