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Finding the Third Proportional to 68,293.13 and 103,361.06

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Solution

The third proportional to 68,293.13 and 103,361.06 is: 156,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,293.13 : 103,361.06 = 103,361.06 : x
  2. Step 2: Convert to fraction form
    68,293.13/103,361.06 = 103,361.06/x
  3. Step 3: Cross multiply
    68,293.13x = 103,361.06 × 103,361.06
  4. Step 4: Simplify right side
    68,293.13x = 10,683,509,241.13
  5. Step 5: Solve for x
    x = 10,683,509,241.13/68,293.13
  6. Step 6: Final answer
    x = 156,436.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.