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Finding the Third Proportional to 100,680 and 159,948

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Solution

The third proportional to 100,680 and 159,948 is: 254,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,680 : 159,948 = 159,948 : x
  2. Step 2: Convert to fraction form
    100,680/159,948 = 159,948/x
  3. Step 3: Cross multiply
    100,680x = 159,948 × 159,948
  4. Step 4: Simplify right side
    100,680x = 25,583,362,704
  5. Step 5: Solve for x
    x = 25,583,362,704/100,680
  6. Step 6: Final answer
    x = 254,105.71

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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.