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Finding the Third Proportional to 119,454.75 and 186,441.75

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Solution

The third proportional to 119,454.75 and 186,441.75 is: 290,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,454.75 : 186,441.75 = 186,441.75 : x
  2. Step 2: Convert to fraction form
    119,454.75/186,441.75 = 186,441.75/x
  3. Step 3: Cross multiply
    119,454.75x = 186,441.75 × 186,441.75
  4. Step 4: Simplify right side
    119,454.75x = 34,760,526,143.06
  5. Step 5: Solve for x
    x = 34,760,526,143.06/119,454.75
  6. Step 6: Final answer
    x = 290,993.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.