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Finding the Third Proportional to 50,972.34 and 119,928.09

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Solution

The third proportional to 50,972.34 and 119,928.09 is: 282,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972.34 : 119,928.09 = 119,928.09 : x
  2. Step 2: Convert to fraction form
    50,972.34/119,928.09 = 119,928.09/x
  3. Step 3: Cross multiply
    50,972.34x = 119,928.09 × 119,928.09
  4. Step 4: Simplify right side
    50,972.34x = 14,382,747,670.51
  5. Step 5: Solve for x
    x = 14,382,747,670.51/50,972.34
  6. Step 6: Final answer
    x = 282,167.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.