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Finding the Third Proportional to 54,000 and 117,834

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Solution

The third proportional to 54,000 and 117,834 is: 257,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000 : 117,834 = 117,834 : x
  2. Step 2: Convert to fraction form
    54,000/117,834 = 117,834/x
  3. Step 3: Cross multiply
    54,000x = 117,834 × 117,834
  4. Step 4: Simplify right side
    54,000x = 13,884,851,556
  5. Step 5: Solve for x
    x = 13,884,851,556/54,000
  6. Step 6: Final answer
    x = 257,126.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.