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Finding the Third Proportional to 70,772 and 154,670

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Solution

The third proportional to 70,772 and 154,670 is: 338,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,772 : 154,670 = 154,670 : x
  2. Step 2: Convert to fraction form
    70,772/154,670 = 154,670/x
  3. Step 3: Cross multiply
    70,772x = 154,670 × 154,670
  4. Step 4: Simplify right side
    70,772x = 23,922,808,900
  5. Step 5: Solve for x
    x = 23,922,808,900/70,772
  6. Step 6: Final answer
    x = 338,026.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.