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Finding the Third Proportional to 113,269.50 and 179,949

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Solution

The third proportional to 113,269.50 and 179,949 is: 285,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,269.50 : 179,949 = 179,949 : x
  2. Step 2: Convert to fraction form
    113,269.50/179,949 = 179,949/x
  3. Step 3: Cross multiply
    113,269.50x = 179,949 × 179,949
  4. Step 4: Simplify right side
    113,269.50x = 32,381,642,601
  5. Step 5: Solve for x
    x = 32,381,642,601/113,269.50
  6. Step 6: Final answer
    x = 285,881.39

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Why These Related Problems?

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