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Finding the Third Proportional to 79,833 and 119,058

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Solution

The third proportional to 79,833 and 119,058 is: 177,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,833 : 119,058 = 119,058 : x
  2. Step 2: Convert to fraction form
    79,833/119,058 = 119,058/x
  3. Step 3: Cross multiply
    79,833x = 119,058 × 119,058
  4. Step 4: Simplify right side
    79,833x = 14,174,807,364
  5. Step 5: Solve for x
    x = 14,174,807,364/79,833
  6. Step 6: Final answer
    x = 177,555.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.