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Finding the Third Proportional to 69,167 and 109,974

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Solution

The third proportional to 69,167 and 109,974 is: 174,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,167 : 109,974 = 109,974 : x
  2. Step 2: Convert to fraction form
    69,167/109,974 = 109,974/x
  3. Step 3: Cross multiply
    69,167x = 109,974 × 109,974
  4. Step 4: Simplify right side
    69,167x = 12,094,280,676
  5. Step 5: Solve for x
    x = 12,094,280,676/69,167
  6. Step 6: Final answer
    x = 174,856.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.