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Finding the Third Proportional to 67,974 and 105,129

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Solution

The third proportional to 67,974 and 105,129 is: 162,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,974 : 105,129 = 105,129 : x
  2. Step 2: Convert to fraction form
    67,974/105,129 = 105,129/x
  3. Step 3: Cross multiply
    67,974x = 105,129 × 105,129
  4. Step 4: Simplify right side
    67,974x = 11,052,106,641
  5. Step 5: Solve for x
    x = 11,052,106,641/67,974
  6. Step 6: Final answer
    x = 162,593.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.