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Finding the Third Proportional to 72,171 and 166,333.50

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Solution

The third proportional to 72,171 and 166,333.50 is: 383,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,171 : 166,333.50 = 166,333.50 : x
  2. Step 2: Convert to fraction form
    72,171/166,333.50 = 166,333.50/x
  3. Step 3: Cross multiply
    72,171x = 166,333.50 × 166,333.50
  4. Step 4: Simplify right side
    72,171x = 27,666,833,222.25
  5. Step 5: Solve for x
    x = 27,666,833,222.25/72,171
  6. Step 6: Final answer
    x = 383,351.11

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.