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Finding the Third Proportional to 70,813 and 154,114

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Solution

The third proportional to 70,813 and 154,114 is: 335,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,813 : 154,114 = 154,114 : x
  2. Step 2: Convert to fraction form
    70,813/154,114 = 154,114/x
  3. Step 3: Cross multiply
    70,813x = 154,114 × 154,114
  4. Step 4: Simplify right side
    70,813x = 23,751,124,996
  5. Step 5: Solve for x
    x = 23,751,124,996/70,813
  6. Step 6: Final answer
    x = 335,406.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.