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Finding the Third Proportional to 79,172 and 166,024

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Solution

The third proportional to 79,172 and 166,024 is: 348,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,172 : 166,024 = 166,024 : x
  2. Step 2: Convert to fraction form
    79,172/166,024 = 166,024/x
  3. Step 3: Cross multiply
    79,172x = 166,024 × 166,024
  4. Step 4: Simplify right side
    79,172x = 27,563,968,576
  5. Step 5: Solve for x
    x = 27,563,968,576/79,172
  6. Step 6: Final answer
    x = 348,152.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.