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Finding the Third Proportional to 73,476 and 159,174

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Solution

The third proportional to 73,476 and 159,174 is: 344,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,476 : 159,174 = 159,174 : x
  2. Step 2: Convert to fraction form
    73,476/159,174 = 159,174/x
  3. Step 3: Cross multiply
    73,476x = 159,174 × 159,174
  4. Step 4: Simplify right side
    73,476x = 25,336,362,276
  5. Step 5: Solve for x
    x = 25,336,362,276/73,476
  6. Step 6: Final answer
    x = 344,825.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.