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Finding the Third Proportional to 121,954 and 257,192

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Solution

The third proportional to 121,954 and 257,192 is: 542,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,954 : 257,192 = 257,192 : x
  2. Step 2: Convert to fraction form
    121,954/257,192 = 257,192/x
  3. Step 3: Cross multiply
    121,954x = 257,192 × 257,192
  4. Step 4: Simplify right side
    121,954x = 66,147,724,864
  5. Step 5: Solve for x
    x = 66,147,724,864/121,954
  6. Step 6: Final answer
    x = 542,398.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.