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Finding the Third Proportional to 125,769 and 190,274

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Solution

The third proportional to 125,769 and 190,274 is: 287,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,769 : 190,274 = 190,274 : x
  2. Step 2: Convert to fraction form
    125,769/190,274 = 190,274/x
  3. Step 3: Cross multiply
    125,769x = 190,274 × 190,274
  4. Step 4: Simplify right side
    125,769x = 36,204,195,076
  5. Step 5: Solve for x
    x = 36,204,195,076/125,769
  6. Step 6: Final answer
    x = 287,862.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.