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Finding the Third Proportional to 67,380.75 and 103,122

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Solution

The third proportional to 67,380.75 and 103,122 is: 157,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,380.75 : 103,122 = 103,122 : x
  2. Step 2: Convert to fraction form
    67,380.75/103,122 = 103,122/x
  3. Step 3: Cross multiply
    67,380.75x = 103,122 × 103,122
  4. Step 4: Simplify right side
    67,380.75x = 10,634,146,884
  5. Step 5: Solve for x
    x = 10,634,146,884/67,380.75
  6. Step 6: Final answer
    x = 157,821.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.