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Finding the Third Proportional to 70,756.50 and 154,005

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Solution

The third proportional to 70,756.50 and 154,005 is: 335,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,756.50 : 154,005 = 154,005 : x
  2. Step 2: Convert to fraction form
    70,756.50/154,005 = 154,005/x
  3. Step 3: Cross multiply
    70,756.50x = 154,005 × 154,005
  4. Step 4: Simplify right side
    70,756.50x = 23,717,540,025
  5. Step 5: Solve for x
    x = 23,717,540,025/70,756.50
  6. Step 6: Final answer
    x = 335,199.45

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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.