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Finding the Third Proportional to 54,462 and 117,971

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Solution

The third proportional to 54,462 and 117,971 is: 255,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462 : 117,971 = 117,971 : x
  2. Step 2: Convert to fraction form
    54,462/117,971 = 117,971/x
  3. Step 3: Cross multiply
    54,462x = 117,971 × 117,971
  4. Step 4: Simplify right side
    54,462x = 13,917,156,841
  5. Step 5: Solve for x
    x = 13,917,156,841/54,462
  6. Step 6: Final answer
    x = 255,538.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.