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Finding the Third Proportional to 68,619 and 103,093.50

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Solution

The third proportional to 68,619 and 103,093.50 is: 154,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,619 : 103,093.50 = 103,093.50 : x
  2. Step 2: Convert to fraction form
    68,619/103,093.50 = 103,093.50/x
  3. Step 3: Cross multiply
    68,619x = 103,093.50 × 103,093.50
  4. Step 4: Simplify right side
    68,619x = 10,628,269,742.25
  5. Step 5: Solve for x
    x = 10,628,269,742.25/68,619
  6. Step 6: Final answer
    x = 154,888.15

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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.