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Finding the Third Proportional to 120,289.50 and 168,171

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Solution

The third proportional to 120,289.50 and 168,171 is: 235,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,289.50 : 168,171 = 168,171 : x
  2. Step 2: Convert to fraction form
    120,289.50/168,171 = 168,171/x
  3. Step 3: Cross multiply
    120,289.50x = 168,171 × 168,171
  4. Step 4: Simplify right side
    120,289.50x = 28,281,485,241
  5. Step 5: Solve for x
    x = 28,281,485,241/120,289.50
  6. Step 6: Final answer
    x = 235,111.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.