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Finding the Third Proportional to 73,174 and 157,634

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Solution

The third proportional to 73,174 and 157,634 is: 339,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,174 : 157,634 = 157,634 : x
  2. Step 2: Convert to fraction form
    73,174/157,634 = 157,634/x
  3. Step 3: Cross multiply
    73,174x = 157,634 × 157,634
  4. Step 4: Simplify right side
    73,174x = 24,848,477,956
  5. Step 5: Solve for x
    x = 24,848,477,956/73,174
  6. Step 6: Final answer
    x = 339,580.70

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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.