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Finding the Third Proportional to 105,733 and 238,081

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Solution

The third proportional to 105,733 and 238,081 is: 536,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,733 : 238,081 = 238,081 : x
  2. Step 2: Convert to fraction form
    105,733/238,081 = 238,081/x
  3. Step 3: Cross multiply
    105,733x = 238,081 × 238,081
  4. Step 4: Simplify right side
    105,733x = 56,682,562,561
  5. Step 5: Solve for x
    x = 56,682,562,561/105,733
  6. Step 6: Final answer
    x = 536,091.50

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.