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Finding the Third Proportional to 71,450 and 104,961

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Solution

The third proportional to 71,450 and 104,961 is: 154,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,450 : 104,961 = 104,961 : x
  2. Step 2: Convert to fraction form
    71,450/104,961 = 104,961/x
  3. Step 3: Cross multiply
    71,450x = 104,961 × 104,961
  4. Step 4: Simplify right side
    71,450x = 11,016,811,521
  5. Step 5: Solve for x
    x = 11,016,811,521/71,450
  6. Step 6: Final answer
    x = 154,189.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.