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Finding the Third Proportional to 85,174 and 175,816

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Solution

The third proportional to 85,174 and 175,816 is: 362,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174 : 175,816 = 175,816 : x
  2. Step 2: Convert to fraction form
    85,174/175,816 = 175,816/x
  3. Step 3: Cross multiply
    85,174x = 175,816 × 175,816
  4. Step 4: Simplify right side
    85,174x = 30,911,265,856
  5. Step 5: Solve for x
    x = 30,911,265,856/85,174
  6. Step 6: Final answer
    x = 362,919.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.