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Finding the Third Proportional to 119,084 and 164,043

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Solution

The third proportional to 119,084 and 164,043 is: 225,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,084 : 164,043 = 164,043 : x
  2. Step 2: Convert to fraction form
    119,084/164,043 = 164,043/x
  3. Step 3: Cross multiply
    119,084x = 164,043 × 164,043
  4. Step 4: Simplify right side
    119,084x = 26,910,105,849
  5. Step 5: Solve for x
    x = 26,910,105,849/119,084
  6. Step 6: Final answer
    x = 225,975.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.