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Finding the Third Proportional to 51,673.50 and 111,609

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Solution

The third proportional to 51,673.50 and 111,609 is: 241,063.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,673.50 : 111,609 = 111,609 : x
  2. Step 2: Convert to fraction form
    51,673.50/111,609 = 111,609/x
  3. Step 3: Cross multiply
    51,673.50x = 111,609 × 111,609
  4. Step 4: Simplify right side
    51,673.50x = 12,456,568,881
  5. Step 5: Solve for x
    x = 12,456,568,881/51,673.50
  6. Step 6: Final answer
    x = 241,063.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.