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Finding the Third Proportional to 70,904 and 154,687

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Solution

The third proportional to 70,904 and 154,687 is: 337,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,904 : 154,687 = 154,687 : x
  2. Step 2: Convert to fraction form
    70,904/154,687 = 154,687/x
  3. Step 3: Cross multiply
    70,904x = 154,687 × 154,687
  4. Step 4: Simplify right side
    70,904x = 23,928,067,969
  5. Step 5: Solve for x
    x = 23,928,067,969/70,904
  6. Step 6: Final answer
    x = 337,471.34

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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.