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Finding the Third Proportional to 70,840 and 154,142

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Solution

The third proportional to 70,840 and 154,142 is: 335,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,840 : 154,142 = 154,142 : x
  2. Step 2: Convert to fraction form
    70,840/154,142 = 154,142/x
  3. Step 3: Cross multiply
    70,840x = 154,142 × 154,142
  4. Step 4: Simplify right side
    70,840x = 23,759,756,164
  5. Step 5: Solve for x
    x = 23,759,756,164/70,840
  6. Step 6: Final answer
    x = 335,400.28

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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.