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Finding the Third Proportional to 117,786 and 181,971

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Solution

The third proportional to 117,786 and 181,971 is: 281,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,786 : 181,971 = 181,971 : x
  2. Step 2: Convert to fraction form
    117,786/181,971 = 181,971/x
  3. Step 3: Cross multiply
    117,786x = 181,971 × 181,971
  4. Step 4: Simplify right side
    117,786x = 33,113,444,841
  5. Step 5: Solve for x
    x = 33,113,444,841/117,786
  6. Step 6: Final answer
    x = 281,132.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.