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Finding the Third Proportional to 43,704.50 and 95,833

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Solution

The third proportional to 43,704.50 and 95,833 is: 210,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,704.50 : 95,833 = 95,833 : x
  2. Step 2: Convert to fraction form
    43,704.50/95,833 = 95,833/x
  3. Step 3: Cross multiply
    43,704.50x = 95,833 × 95,833
  4. Step 4: Simplify right side
    43,704.50x = 9,183,963,889
  5. Step 5: Solve for x
    x = 9,183,963,889/43,704.50
  6. Step 6: Final answer
    x = 210,137.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.