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Finding the Third Proportional to 125,216 and 194,044

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Solution

The third proportional to 125,216 and 194,044 is: 300,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,216 : 194,044 = 194,044 : x
  2. Step 2: Convert to fraction form
    125,216/194,044 = 194,044/x
  3. Step 3: Cross multiply
    125,216x = 194,044 × 194,044
  4. Step 4: Simplify right side
    125,216x = 37,653,073,936
  5. Step 5: Solve for x
    x = 37,653,073,936/125,216
  6. Step 6: Final answer
    x = 300,704.97

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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.