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Finding the Third Proportional to 43,942 and 68,097.50

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Solution

The third proportional to 43,942 and 68,097.50 is: 105,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,942 : 68,097.50 = 68,097.50 : x
  2. Step 2: Convert to fraction form
    43,942/68,097.50 = 68,097.50/x
  3. Step 3: Cross multiply
    43,942x = 68,097.50 × 68,097.50
  4. Step 4: Simplify right side
    43,942x = 4,637,269,506.25
  5. Step 5: Solve for x
    x = 4,637,269,506.25/43,942
  6. Step 6: Final answer
    x = 105,531.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.