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Finding the Third Proportional to 42,154.75 and 91,745.50

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Solution

The third proportional to 42,154.75 and 91,745.50 is: 199,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,154.75 : 91,745.50 = 91,745.50 : x
  2. Step 2: Convert to fraction form
    42,154.75/91,745.50 = 91,745.50/x
  3. Step 3: Cross multiply
    42,154.75x = 91,745.50 × 91,745.50
  4. Step 4: Simplify right side
    42,154.75x = 8,417,236,770.25
  5. Step 5: Solve for x
    x = 8,417,236,770.25/42,154.75
  6. Step 6: Final answer
    x = 199,674.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.