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Finding the Third Proportional to 69,019 and 103,875

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Solution

The third proportional to 69,019 and 103,875 is: 156,333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,019 : 103,875 = 103,875 : x
  2. Step 2: Convert to fraction form
    69,019/103,875 = 103,875/x
  3. Step 3: Cross multiply
    69,019x = 103,875 × 103,875
  4. Step 4: Simplify right side
    69,019x = 10,790,015,625
  5. Step 5: Solve for x
    x = 10,790,015,625/69,019
  6. Step 6: Final answer
    x = 156,333.99

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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.