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Finding the Third Proportional to 68,293.69 and 139,297.50

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Solution

The third proportional to 68,293.69 and 139,297.50 is: 284,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,293.69 : 139,297.50 = 139,297.50 : x
  2. Step 2: Convert to fraction form
    68,293.69/139,297.50 = 139,297.50/x
  3. Step 3: Cross multiply
    68,293.69x = 139,297.50 × 139,297.50
  4. Step 4: Simplify right side
    68,293.69x = 19,403,793,506.25
  5. Step 5: Solve for x
    x = 19,403,793,506.25/68,293.69
  6. Step 6: Final answer
    x = 284,122.80

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.