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Finding the Third Proportional to 43,224 and 93,826

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Solution

The third proportional to 43,224 and 93,826 is: 203,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,224 : 93,826 = 93,826 : x
  2. Step 2: Convert to fraction form
    43,224/93,826 = 93,826/x
  3. Step 3: Cross multiply
    43,224x = 93,826 × 93,826
  4. Step 4: Simplify right side
    43,224x = 8,803,318,276
  5. Step 5: Solve for x
    x = 8,803,318,276/43,224
  6. Step 6: Final answer
    x = 203,667.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.