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Finding the Third Proportional to 125,349 and 194,187

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Solution

The third proportional to 125,349 and 194,187 is: 300,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,349 : 194,187 = 194,187 : x
  2. Step 2: Convert to fraction form
    125,349/194,187 = 194,187/x
  3. Step 3: Cross multiply
    125,349x = 194,187 × 194,187
  4. Step 4: Simplify right side
    125,349x = 37,708,590,969
  5. Step 5: Solve for x
    x = 37,708,590,969/125,349
  6. Step 6: Final answer
    x = 300,828.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.