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Finding the Third Proportional to 70,842 and 154,146

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Solution

The third proportional to 70,842 and 154,146 is: 335,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842 : 154,146 = 154,146 : x
  2. Step 2: Convert to fraction form
    70,842/154,146 = 154,146/x
  3. Step 3: Cross multiply
    70,842x = 154,146 × 154,146
  4. Step 4: Simplify right side
    70,842x = 23,760,989,316
  5. Step 5: Solve for x
    x = 23,760,989,316/70,842
  6. Step 6: Final answer
    x = 335,408.22

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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.