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Finding the Third Proportional to 73,284 and 109,878

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Solution

The third proportional to 73,284 and 109,878 is: 164,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,284 : 109,878 = 109,878 : x
  2. Step 2: Convert to fraction form
    73,284/109,878 = 109,878/x
  3. Step 3: Cross multiply
    73,284x = 109,878 × 109,878
  4. Step 4: Simplify right side
    73,284x = 12,073,174,884
  5. Step 5: Solve for x
    x = 12,073,174,884/73,284
  6. Step 6: Final answer
    x = 164,745.03

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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.