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Finding the Third Proportional to 43,857 and 106,047

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Solution

The third proportional to 43,857 and 106,047 is: 256,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,857 : 106,047 = 106,047 : x
  2. Step 2: Convert to fraction form
    43,857/106,047 = 106,047/x
  3. Step 3: Cross multiply
    43,857x = 106,047 × 106,047
  4. Step 4: Simplify right side
    43,857x = 11,245,966,209
  5. Step 5: Solve for x
    x = 11,245,966,209/43,857
  6. Step 6: Final answer
    x = 256,423.52

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.