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Finding the Third Proportional to 71,169 and 154,024

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Solution

The third proportional to 71,169 and 154,024 is: 333,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,169 : 154,024 = 154,024 : x
  2. Step 2: Convert to fraction form
    71,169/154,024 = 154,024/x
  3. Step 3: Cross multiply
    71,169x = 154,024 × 154,024
  4. Step 4: Simplify right side
    71,169x = 23,723,392,576
  5. Step 5: Solve for x
    x = 23,723,392,576/71,169
  6. Step 6: Final answer
    x = 333,338.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.