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Finding the Third Proportional to 43,827 and 94,224

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Solution

The third proportional to 43,827 and 94,224 is: 202,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,827 : 94,224 = 94,224 : x
  2. Step 2: Convert to fraction form
    43,827/94,224 = 94,224/x
  3. Step 3: Cross multiply
    43,827x = 94,224 × 94,224
  4. Step 4: Simplify right side
    43,827x = 8,878,162,176
  5. Step 5: Solve for x
    x = 8,878,162,176/43,827
  6. Step 6: Final answer
    x = 202,572.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.