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Finding the Third Proportional to 81,904 and 123,433

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Solution

The third proportional to 81,904 and 123,433 is: 186,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904 : 123,433 = 123,433 : x
  2. Step 2: Convert to fraction form
    81,904/123,433 = 123,433/x
  3. Step 3: Cross multiply
    81,904x = 123,433 × 123,433
  4. Step 4: Simplify right side
    81,904x = 15,235,705,489
  5. Step 5: Solve for x
    x = 15,235,705,489/81,904
  6. Step 6: Final answer
    x = 186,019.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.