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Finding the Third Proportional to 73,419 and 105,996

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Solution

The third proportional to 73,419 and 105,996 is: 153,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,419 : 105,996 = 105,996 : x
  2. Step 2: Convert to fraction form
    73,419/105,996 = 105,996/x
  3. Step 3: Cross multiply
    73,419x = 105,996 × 105,996
  4. Step 4: Simplify right side
    73,419x = 11,235,152,016
  5. Step 5: Solve for x
    x = 11,235,152,016/73,419
  6. Step 6: Final answer
    x = 153,027.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.