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Finding the Third Proportional to 125,284 and 194,118

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Solution

The third proportional to 125,284 and 194,118 is: 300,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,284 : 194,118 = 194,118 : x
  2. Step 2: Convert to fraction form
    125,284/194,118 = 194,118/x
  3. Step 3: Cross multiply
    125,284x = 194,118 × 194,118
  4. Step 4: Simplify right side
    125,284x = 37,681,797,924
  5. Step 5: Solve for x
    x = 37,681,797,924/125,284
  6. Step 6: Final answer
    x = 300,771.03

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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.