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Finding the Third Proportional to 104,224 and 212,129

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Solution

The third proportional to 104,224 and 212,129 is: 431,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,224 : 212,129 = 212,129 : x
  2. Step 2: Convert to fraction form
    104,224/212,129 = 212,129/x
  3. Step 3: Cross multiply
    104,224x = 212,129 × 212,129
  4. Step 4: Simplify right side
    104,224x = 44,998,712,641
  5. Step 5: Solve for x
    x = 44,998,712,641/104,224
  6. Step 6: Final answer
    x = 431,750.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.