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Finding the Third Proportional to 79,844 and 119,772

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Solution

The third proportional to 79,844 and 119,772 is: 179,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,844 : 119,772 = 119,772 : x
  2. Step 2: Convert to fraction form
    79,844/119,772 = 119,772/x
  3. Step 3: Cross multiply
    79,844x = 119,772 × 119,772
  4. Step 4: Simplify right side
    79,844x = 14,345,331,984
  5. Step 5: Solve for x
    x = 14,345,331,984/79,844
  6. Step 6: Final answer
    x = 179,667.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.