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Finding the Third Proportional to 43,732 and 95,250

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Solution

The third proportional to 43,732 and 95,250 is: 207,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,732 : 95,250 = 95,250 : x
  2. Step 2: Convert to fraction form
    43,732/95,250 = 95,250/x
  3. Step 3: Cross multiply
    43,732x = 95,250 × 95,250
  4. Step 4: Simplify right side
    43,732x = 9,072,562,500
  5. Step 5: Solve for x
    x = 9,072,562,500/43,732
  6. Step 6: Final answer
    x = 207,458.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.