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Finding the Third Proportional to 67,683 and 102,928.50

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Solution

The third proportional to 67,683 and 102,928.50 is: 156,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,683 : 102,928.50 = 102,928.50 : x
  2. Step 2: Convert to fraction form
    67,683/102,928.50 = 102,928.50/x
  3. Step 3: Cross multiply
    67,683x = 102,928.50 × 102,928.50
  4. Step 4: Simplify right side
    67,683x = 10,594,276,112.25
  5. Step 5: Solve for x
    x = 10,594,276,112.25/67,683
  6. Step 6: Final answer
    x = 156,527.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.