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Finding the Third Proportional to 125,824 and 193,105

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Solution

The third proportional to 125,824 and 193,105 is: 296,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,824 : 193,105 = 193,105 : x
  2. Step 2: Convert to fraction form
    125,824/193,105 = 193,105/x
  3. Step 3: Cross multiply
    125,824x = 193,105 × 193,105
  4. Step 4: Simplify right side
    125,824x = 37,289,541,025
  5. Step 5: Solve for x
    x = 37,289,541,025/125,824
  6. Step 6: Final answer
    x = 296,362.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.