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Finding the Third Proportional to 70,724 and 154,072

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Solution

The third proportional to 70,724 and 154,072 is: 335,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,724 : 154,072 = 154,072 : x
  2. Step 2: Convert to fraction form
    70,724/154,072 = 154,072/x
  3. Step 3: Cross multiply
    70,724x = 154,072 × 154,072
  4. Step 4: Simplify right side
    70,724x = 23,738,181,184
  5. Step 5: Solve for x
    x = 23,738,181,184/70,724
  6. Step 6: Final answer
    x = 335,645.34

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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.