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Finding the Third Proportional to 70,761 and 103,225.50

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Solution

The third proportional to 70,761 and 103,225.50 is: 150,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,761 : 103,225.50 = 103,225.50 : x
  2. Step 2: Convert to fraction form
    70,761/103,225.50 = 103,225.50/x
  3. Step 3: Cross multiply
    70,761x = 103,225.50 × 103,225.50
  4. Step 4: Simplify right side
    70,761x = 10,655,503,850.25
  5. Step 5: Solve for x
    x = 10,655,503,850.25/70,761
  6. Step 6: Final answer
    x = 150,584.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.