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Finding the Third Proportional to 74,069 and 162,961

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Solution

The third proportional to 74,069 and 162,961 is: 358,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,069 : 162,961 = 162,961 : x
  2. Step 2: Convert to fraction form
    74,069/162,961 = 162,961/x
  3. Step 3: Cross multiply
    74,069x = 162,961 × 162,961
  4. Step 4: Simplify right side
    74,069x = 26,556,287,521
  5. Step 5: Solve for x
    x = 26,556,287,521/74,069
  6. Step 6: Final answer
    x = 358,534.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.