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Finding the Third Proportional to 49,095.50 and 107,749

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Solution

The third proportional to 49,095.50 and 107,749 is: 236,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095.50 : 107,749 = 107,749 : x
  2. Step 2: Convert to fraction form
    49,095.50/107,749 = 107,749/x
  3. Step 3: Cross multiply
    49,095.50x = 107,749 × 107,749
  4. Step 4: Simplify right side
    49,095.50x = 11,609,847,001
  5. Step 5: Solve for x
    x = 11,609,847,001/49,095.50
  6. Step 6: Final answer
    x = 236,474.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.