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Finding the Third Proportional to 75,163.50 and 112,378.50

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Solution

The third proportional to 75,163.50 and 112,378.50 is: 168,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,163.50 : 112,378.50 = 112,378.50 : x
  2. Step 2: Convert to fraction form
    75,163.50/112,378.50 = 112,378.50/x
  3. Step 3: Cross multiply
    75,163.50x = 112,378.50 × 112,378.50
  4. Step 4: Simplify right side
    75,163.50x = 12,628,927,262.25
  5. Step 5: Solve for x
    x = 12,628,927,262.25/75,163.50
  6. Step 6: Final answer
    x = 168,019.41

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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.