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Finding the Third Proportional to 81,903 and 123,432

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Solution

The third proportional to 81,903 and 123,432 is: 186,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903 : 123,432 = 123,432 : x
  2. Step 2: Convert to fraction form
    81,903/123,432 = 123,432/x
  3. Step 3: Cross multiply
    81,903x = 123,432 × 123,432
  4. Step 4: Simplify right side
    81,903x = 15,235,458,624
  5. Step 5: Solve for x
    x = 15,235,458,624/81,903
  6. Step 6: Final answer
    x = 186,018.32

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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.