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Finding the Third Proportional to 81,212 and 121,433

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Solution

The third proportional to 81,212 and 121,433 is: 181,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,212 : 121,433 = 121,433 : x
  2. Step 2: Convert to fraction form
    81,212/121,433 = 121,433/x
  3. Step 3: Cross multiply
    81,212x = 121,433 × 121,433
  4. Step 4: Simplify right side
    81,212x = 14,745,973,489
  5. Step 5: Solve for x
    x = 14,745,973,489/81,212
  6. Step 6: Final answer
    x = 181,573.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.