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Finding the Third Proportional to 104,064 and 221,086

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Solution

The third proportional to 104,064 and 221,086 is: 469,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,064 : 221,086 = 221,086 : x
  2. Step 2: Convert to fraction form
    104,064/221,086 = 221,086/x
  3. Step 3: Cross multiply
    104,064x = 221,086 × 221,086
  4. Step 4: Simplify right side
    104,064x = 48,879,019,396
  5. Step 5: Solve for x
    x = 48,879,019,396/104,064
  6. Step 6: Final answer
    x = 469,701.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.