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Finding the Third Proportional to 63,211.50 and 135,171

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Solution

The third proportional to 63,211.50 and 135,171 is: 289,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,211.50 : 135,171 = 135,171 : x
  2. Step 2: Convert to fraction form
    63,211.50/135,171 = 135,171/x
  3. Step 3: Cross multiply
    63,211.50x = 135,171 × 135,171
  4. Step 4: Simplify right side
    63,211.50x = 18,271,199,241
  5. Step 5: Solve for x
    x = 18,271,199,241/63,211.50
  6. Step 6: Final answer
    x = 289,048.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.