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Finding the Third Proportional to 125,770 and 190,275

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Solution

The third proportional to 125,770 and 190,275 is: 287,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,770 : 190,275 = 190,275 : x
  2. Step 2: Convert to fraction form
    125,770/190,275 = 190,275/x
  3. Step 3: Cross multiply
    125,770x = 190,275 × 190,275
  4. Step 4: Simplify right side
    125,770x = 36,204,575,625
  5. Step 5: Solve for x
    x = 36,204,575,625/125,770
  6. Step 6: Final answer
    x = 287,863.37

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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.