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Finding the Third Proportional to 71,890.50 and 154,189.50

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Solution

The third proportional to 71,890.50 and 154,189.50 is: 330,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,890.50 : 154,189.50 = 154,189.50 : x
  2. Step 2: Convert to fraction form
    71,890.50/154,189.50 = 154,189.50/x
  3. Step 3: Cross multiply
    71,890.50x = 154,189.50 × 154,189.50
  4. Step 4: Simplify right side
    71,890.50x = 23,774,401,910.25
  5. Step 5: Solve for x
    x = 23,774,401,910.25/71,890.50
  6. Step 6: Final answer
    x = 330,702.97

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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.