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Finding the Third Proportional to 49,307.50 and 107,831

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Solution

The third proportional to 49,307.50 and 107,831 is: 235,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,307.50 : 107,831 = 107,831 : x
  2. Step 2: Convert to fraction form
    49,307.50/107,831 = 107,831/x
  3. Step 3: Cross multiply
    49,307.50x = 107,831 × 107,831
  4. Step 4: Simplify right side
    49,307.50x = 11,627,524,561
  5. Step 5: Solve for x
    x = 11,627,524,561/49,307.50
  6. Step 6: Final answer
    x = 235,816.55

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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.