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Finding the Third Proportional to 68,381.25 and 103,515.75

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Solution

The third proportional to 68,381.25 and 103,515.75 is: 156,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,381.25 : 103,515.75 = 103,515.75 : x
  2. Step 2: Convert to fraction form
    68,381.25/103,515.75 = 103,515.75/x
  3. Step 3: Cross multiply
    68,381.25x = 103,515.75 × 103,515.75
  4. Step 4: Simplify right side
    68,381.25x = 10,715,510,498.06
  5. Step 5: Solve for x
    x = 10,715,510,498.06/68,381.25
  6. Step 6: Final answer
    x = 156,702.47

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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.