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Finding the Third Proportional to 79,811 and 119,024

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Solution

The third proportional to 79,811 and 119,024 is: 177,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,811 : 119,024 = 119,024 : x
  2. Step 2: Convert to fraction form
    79,811/119,024 = 119,024/x
  3. Step 3: Cross multiply
    79,811x = 119,024 × 119,024
  4. Step 4: Simplify right side
    79,811x = 14,166,712,576
  5. Step 5: Solve for x
    x = 14,166,712,576/79,811
  6. Step 6: Final answer
    x = 177,503.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.