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Finding the Third Proportional to 106,059 and 228,723

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Solution

The third proportional to 106,059 and 228,723 is: 493,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,059 : 228,723 = 228,723 : x
  2. Step 2: Convert to fraction form
    106,059/228,723 = 228,723/x
  3. Step 3: Cross multiply
    106,059x = 228,723 × 228,723
  4. Step 4: Simplify right side
    106,059x = 52,314,210,729
  5. Step 5: Solve for x
    x = 52,314,210,729/106,059
  6. Step 6: Final answer
    x = 493,255.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.