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Finding the Third Proportional to 71,069.06 and 155,266.03

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Solution

The third proportional to 71,069.06 and 155,266.03 is: 339,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,069.06 : 155,266.03 = 155,266.03 : x
  2. Step 2: Convert to fraction form
    71,069.06/155,266.03 = 155,266.03/x
  3. Step 3: Cross multiply
    71,069.06x = 155,266.03 × 155,266.03
  4. Step 4: Simplify right side
    71,069.06x = 24,107,540,460.13
  5. Step 5: Solve for x
    x = 24,107,540,460.13/71,069.06
  6. Step 6: Final answer
    x = 339,212.87

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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.