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Finding the Third Proportional to 49,389.75 and 119,373.75

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Solution

The third proportional to 49,389.75 and 119,373.75 is: 288,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,389.75 : 119,373.75 = 119,373.75 : x
  2. Step 2: Convert to fraction form
    49,389.75/119,373.75 = 119,373.75/x
  3. Step 3: Cross multiply
    49,389.75x = 119,373.75 × 119,373.75
  4. Step 4: Simplify right side
    49,389.75x = 14,250,092,189.06
  5. Step 5: Solve for x
    x = 14,250,092,189.06/49,389.75
  6. Step 6: Final answer
    x = 288,523.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.