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Finding the Third Proportional to 73,087 and 109,337

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Solution

The third proportional to 73,087 and 109,337 is: 163,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,087 : 109,337 = 109,337 : x
  2. Step 2: Convert to fraction form
    73,087/109,337 = 109,337/x
  3. Step 3: Cross multiply
    73,087x = 109,337 × 109,337
  4. Step 4: Simplify right side
    73,087x = 11,954,579,569
  5. Step 5: Solve for x
    x = 11,954,579,569/73,087
  6. Step 6: Final answer
    x = 163,566.43

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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.