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Finding the Third Proportional to 70,771 and 166,829.50

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Solution

The third proportional to 70,771 and 166,829.50 is: 393,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,771 : 166,829.50 = 166,829.50 : x
  2. Step 2: Convert to fraction form
    70,771/166,829.50 = 166,829.50/x
  3. Step 3: Cross multiply
    70,771x = 166,829.50 × 166,829.50
  4. Step 4: Simplify right side
    70,771x = 27,832,082,070.25
  5. Step 5: Solve for x
    x = 27,832,082,070.25/70,771
  6. Step 6: Final answer
    x = 393,269.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.