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Finding the Third Proportional to 69,853.50 and 92,380.50

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Solution

The third proportional to 69,853.50 and 92,380.50 is: 122,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,853.50 : 92,380.50 = 92,380.50 : x
  2. Step 2: Convert to fraction form
    69,853.50/92,380.50 = 92,380.50/x
  3. Step 3: Cross multiply
    69,853.50x = 92,380.50 × 92,380.50
  4. Step 4: Simplify right side
    69,853.50x = 8,534,156,780.25
  5. Step 5: Solve for x
    x = 8,534,156,780.25/69,853.50
  6. Step 6: Final answer
    x = 122,172.21

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.