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Finding the Third Proportional to 125,209 and 193,889

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Solution

The third proportional to 125,209 and 193,889 is: 300,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,209 : 193,889 = 193,889 : x
  2. Step 2: Convert to fraction form
    125,209/193,889 = 193,889/x
  3. Step 3: Cross multiply
    125,209x = 193,889 × 193,889
  4. Step 4: Simplify right side
    125,209x = 37,592,944,321
  5. Step 5: Solve for x
    x = 37,592,944,321/125,209
  6. Step 6: Final answer
    x = 300,241.55

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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.