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Finding the Third Proportional to 125,118 and 194,025

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Solution

The third proportional to 125,118 and 194,025 is: 300,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,118 : 194,025 = 194,025 : x
  2. Step 2: Convert to fraction form
    125,118/194,025 = 194,025/x
  3. Step 3: Cross multiply
    125,118x = 194,025 × 194,025
  4. Step 4: Simplify right side
    125,118x = 37,645,700,625
  5. Step 5: Solve for x
    x = 37,645,700,625/125,118
  6. Step 6: Final answer
    x = 300,881.57

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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.