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Finding the Third Proportional to 40,261.50 and 80,519.06

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Solution

The third proportional to 40,261.50 and 80,519.06 is: 161,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,261.50 : 80,519.06 = 80,519.06 : x
  2. Step 2: Convert to fraction form
    40,261.50/80,519.06 = 80,519.06/x
  3. Step 3: Cross multiply
    40,261.50x = 80,519.06 × 80,519.06
  4. Step 4: Simplify right side
    40,261.50x = 6,483,319,425.88
  5. Step 5: Solve for x
    x = 6,483,319,425.88/40,261.50
  6. Step 6: Final answer
    x = 161,030.25

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.