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Finding the Third Proportional to 47,639 and 106,555

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Solution

The third proportional to 47,639 and 106,555 is: 238,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,639 : 106,555 = 106,555 : x
  2. Step 2: Convert to fraction form
    47,639/106,555 = 106,555/x
  3. Step 3: Cross multiply
    47,639x = 106,555 × 106,555
  4. Step 4: Simplify right side
    47,639x = 11,353,968,025
  5. Step 5: Solve for x
    x = 11,353,968,025/47,639
  6. Step 6: Final answer
    x = 238,333.47

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.