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Finding the Third Proportional to 112,405.50 and 166,905

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Solution

The third proportional to 112,405.50 and 166,905 is: 247,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,405.50 : 166,905 = 166,905 : x
  2. Step 2: Convert to fraction form
    112,405.50/166,905 = 166,905/x
  3. Step 3: Cross multiply
    112,405.50x = 166,905 × 166,905
  4. Step 4: Simplify right side
    112,405.50x = 27,857,279,025
  5. Step 5: Solve for x
    x = 27,857,279,025/112,405.50
  6. Step 6: Final answer
    x = 247,828.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.