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Finding the Third Proportional to 73,968 and 120,172.50

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Solution

The third proportional to 73,968 and 120,172.50 is: 195,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,968 : 120,172.50 = 120,172.50 : x
  2. Step 2: Convert to fraction form
    73,968/120,172.50 = 120,172.50/x
  3. Step 3: Cross multiply
    73,968x = 120,172.50 × 120,172.50
  4. Step 4: Simplify right side
    73,968x = 14,441,429,756.25
  5. Step 5: Solve for x
    x = 14,441,429,756.25/73,968
  6. Step 6: Final answer
    x = 195,238.88

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.