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Finding the Third Proportional to 51,091.56 and 119,334.94

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Solution

The third proportional to 51,091.56 and 119,334.94 is: 278,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,091.56 : 119,334.94 = 119,334.94 : x
  2. Step 2: Convert to fraction form
    51,091.56/119,334.94 = 119,334.94/x
  3. Step 3: Cross multiply
    51,091.56x = 119,334.94 × 119,334.94
  4. Step 4: Simplify right side
    51,091.56x = 14,240,827,308.13
  5. Step 5: Solve for x
    x = 14,240,827,308.13/51,091.56
  6. Step 6: Final answer
    x = 278,731.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.