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Finding the Third Proportional to 119,077 and 164,034

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Solution

The third proportional to 119,077 and 164,034 is: 225,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,077 : 164,034 = 164,034 : x
  2. Step 2: Convert to fraction form
    119,077/164,034 = 164,034/x
  3. Step 3: Cross multiply
    119,077x = 164,034 × 164,034
  4. Step 4: Simplify right side
    119,077x = 26,907,153,156
  5. Step 5: Solve for x
    x = 26,907,153,156/119,077
  6. Step 6: Final answer
    x = 225,964.32

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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.