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Finding the Third Proportional to 125,212 and 193,893

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Solution

The third proportional to 125,212 and 193,893 is: 300,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,212 : 193,893 = 193,893 : x
  2. Step 2: Convert to fraction form
    125,212/193,893 = 193,893/x
  3. Step 3: Cross multiply
    125,212x = 193,893 × 193,893
  4. Step 4: Simplify right side
    125,212x = 37,594,495,449
  5. Step 5: Solve for x
    x = 37,594,495,449/125,212
  6. Step 6: Final answer
    x = 300,246.75

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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.