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Finding the Third Proportional to 54,024 and 117,877

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Solution

The third proportional to 54,024 and 117,877 is: 257,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,024 : 117,877 = 117,877 : x
  2. Step 2: Convert to fraction form
    54,024/117,877 = 117,877/x
  3. Step 3: Cross multiply
    54,024x = 117,877 × 117,877
  4. Step 4: Simplify right side
    54,024x = 13,894,987,129
  5. Step 5: Solve for x
    x = 13,894,987,129/54,024
  6. Step 6: Final answer
    x = 257,200.27

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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.