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Finding the Third Proportional to 71,174 and 104,619

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Solution

The third proportional to 71,174 and 104,619 is: 153,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,174 : 104,619 = 104,619 : x
  2. Step 2: Convert to fraction form
    71,174/104,619 = 104,619/x
  3. Step 3: Cross multiply
    71,174x = 104,619 × 104,619
  4. Step 4: Simplify right side
    71,174x = 10,945,135,161
  5. Step 5: Solve for x
    x = 10,945,135,161/71,174
  6. Step 6: Final answer
    x = 153,779.96

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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.