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Finding the Third Proportional to 43,762 and 96,272

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Solution

The third proportional to 43,762 and 96,272 is: 211,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,762 : 96,272 = 96,272 : x
  2. Step 2: Convert to fraction form
    43,762/96,272 = 96,272/x
  3. Step 3: Cross multiply
    43,762x = 96,272 × 96,272
  4. Step 4: Simplify right side
    43,762x = 9,268,297,984
  5. Step 5: Solve for x
    x = 9,268,297,984/43,762
  6. Step 6: Final answer
    x = 211,788.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.