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Finding the Third Proportional to 49,541 and 107,830

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Solution

The third proportional to 49,541 and 107,830 is: 234,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,541 : 107,830 = 107,830 : x
  2. Step 2: Convert to fraction form
    49,541/107,830 = 107,830/x
  3. Step 3: Cross multiply
    49,541x = 107,830 × 107,830
  4. Step 4: Simplify right side
    49,541x = 11,627,308,900
  5. Step 5: Solve for x
    x = 11,627,308,900/49,541
  6. Step 6: Final answer
    x = 234,700.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.