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Finding the Third Proportional to 107,120 and 219,154

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Solution

The third proportional to 107,120 and 219,154 is: 448,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,120 : 219,154 = 219,154 : x
  2. Step 2: Convert to fraction form
    107,120/219,154 = 219,154/x
  3. Step 3: Cross multiply
    107,120x = 219,154 × 219,154
  4. Step 4: Simplify right side
    107,120x = 48,028,475,716
  5. Step 5: Solve for x
    x = 48,028,475,716/107,120
  6. Step 6: Final answer
    x = 448,361.42

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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.