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Finding the Third Proportional to 125,108 and 194,009

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Solution

The third proportional to 125,108 and 194,009 is: 300,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,108 : 194,009 = 194,009 : x
  2. Step 2: Convert to fraction form
    125,108/194,009 = 194,009/x
  3. Step 3: Cross multiply
    125,108x = 194,009 × 194,009
  4. Step 4: Simplify right side
    125,108x = 37,639,492,081
  5. Step 5: Solve for x
    x = 37,639,492,081/125,108
  6. Step 6: Final answer
    x = 300,856.00

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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.