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Finding the Third Proportional to 104,069 and 221,442

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Solution

The third proportional to 104,069 and 221,442 is: 471,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,069 : 221,442 = 221,442 : x
  2. Step 2: Convert to fraction form
    104,069/221,442 = 221,442/x
  3. Step 3: Cross multiply
    104,069x = 221,442 × 221,442
  4. Step 4: Simplify right side
    104,069x = 49,036,559,364
  5. Step 5: Solve for x
    x = 49,036,559,364/104,069
  6. Step 6: Final answer
    x = 471,192.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.