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Finding the Third Proportional to 125,941 and 191,918

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Solution

The third proportional to 125,941 and 191,918 is: 292,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,941 : 191,918 = 191,918 : x
  2. Step 2: Convert to fraction form
    125,941/191,918 = 191,918/x
  3. Step 3: Cross multiply
    125,941x = 191,918 × 191,918
  4. Step 4: Simplify right side
    125,941x = 36,832,518,724
  5. Step 5: Solve for x
    x = 36,832,518,724/125,941
  6. Step 6: Final answer
    x = 292,458.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.