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Finding the Third Proportional to 73,078 and 157,034

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Solution

The third proportional to 73,078 and 157,034 is: 337,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,078 : 157,034 = 157,034 : x
  2. Step 2: Convert to fraction form
    73,078/157,034 = 157,034/x
  3. Step 3: Cross multiply
    73,078x = 157,034 × 157,034
  4. Step 4: Simplify right side
    73,078x = 24,659,677,156
  5. Step 5: Solve for x
    x = 24,659,677,156/73,078
  6. Step 6: Final answer
    x = 337,443.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.