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Finding the Third Proportional to 45,519 and 100,071.50

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Solution

The third proportional to 45,519 and 100,071.50 is: 220,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,519 : 100,071.50 = 100,071.50 : x
  2. Step 2: Convert to fraction form
    45,519/100,071.50 = 100,071.50/x
  3. Step 3: Cross multiply
    45,519x = 100,071.50 × 100,071.50
  4. Step 4: Simplify right side
    45,519x = 10,014,305,112.25
  5. Step 5: Solve for x
    x = 10,014,305,112.25/45,519
  6. Step 6: Final answer
    x = 220,002.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.