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Finding the Third Proportional to 119,034 and 173,994

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Solution

The third proportional to 119,034 and 173,994 is: 254,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,034 : 173,994 = 173,994 : x
  2. Step 2: Convert to fraction form
    119,034/173,994 = 173,994/x
  3. Step 3: Cross multiply
    119,034x = 173,994 × 173,994
  4. Step 4: Simplify right side
    119,034x = 30,273,912,036
  5. Step 5: Solve for x
    x = 30,273,912,036/119,034
  6. Step 6: Final answer
    x = 254,329.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.