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Finding the Third Proportional to 43,722 and 105,246

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Solution

The third proportional to 43,722 and 105,246 is: 253,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,722 : 105,246 = 105,246 : x
  2. Step 2: Convert to fraction form
    43,722/105,246 = 105,246/x
  3. Step 3: Cross multiply
    43,722x = 105,246 × 105,246
  4. Step 4: Simplify right side
    43,722x = 11,076,720,516
  5. Step 5: Solve for x
    x = 11,076,720,516/43,722
  6. Step 6: Final answer
    x = 253,344.32

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.