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Finding the Third Proportional to 103,634 and 221,972

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Solution

The third proportional to 103,634 and 221,972 is: 475,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 221,972 = 221,972 : x
  2. Step 2: Convert to fraction form
    103,634/221,972 = 221,972/x
  3. Step 3: Cross multiply
    103,634x = 221,972 × 221,972
  4. Step 4: Simplify right side
    103,634x = 49,271,568,784
  5. Step 5: Solve for x
    x = 49,271,568,784/103,634
  6. Step 6: Final answer
    x = 475,438.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.