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Finding the Third Proportional to 75,897 and 117,268

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Solution

The third proportional to 75,897 and 117,268 is: 181,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897 : 117,268 = 117,268 : x
  2. Step 2: Convert to fraction form
    75,897/117,268 = 117,268/x
  3. Step 3: Cross multiply
    75,897x = 117,268 × 117,268
  4. Step 4: Simplify right side
    75,897x = 13,751,783,824
  5. Step 5: Solve for x
    x = 13,751,783,824/75,897
  6. Step 6: Final answer
    x = 181,190.08

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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.