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Finding the Third Proportional to 104,595 and 214,752

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Solution

The third proportional to 104,595 and 214,752 is: 440,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,595 : 214,752 = 214,752 : x
  2. Step 2: Convert to fraction form
    104,595/214,752 = 214,752/x
  3. Step 3: Cross multiply
    104,595x = 214,752 × 214,752
  4. Step 4: Simplify right side
    104,595x = 46,118,421,504
  5. Step 5: Solve for x
    x = 46,118,421,504/104,595
  6. Step 6: Final answer
    x = 440,923.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.