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Finding the Third Proportional to 54,456 and 117,252

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Solution

The third proportional to 54,456 and 117,252 is: 252,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,456 : 117,252 = 117,252 : x
  2. Step 2: Convert to fraction form
    54,456/117,252 = 117,252/x
  3. Step 3: Cross multiply
    54,456x = 117,252 × 117,252
  4. Step 4: Simplify right side
    54,456x = 13,748,031,504
  5. Step 5: Solve for x
    x = 13,748,031,504/54,456
  6. Step 6: Final answer
    x = 252,461.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.