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Finding the Third Proportional to 51,693.75 and 111,861

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Solution

The third proportional to 51,693.75 and 111,861 is: 242,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,693.75 : 111,861 = 111,861 : x
  2. Step 2: Convert to fraction form
    51,693.75/111,861 = 111,861/x
  3. Step 3: Cross multiply
    51,693.75x = 111,861 × 111,861
  4. Step 4: Simplify right side
    51,693.75x = 12,512,883,321
  5. Step 5: Solve for x
    x = 12,512,883,321/51,693.75
  6. Step 6: Final answer
    x = 242,057.95

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Why These Related Problems?

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