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Finding the Third Proportional to 54,482 and 117,306

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Solution

The third proportional to 54,482 and 117,306 is: 252,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,482 : 117,306 = 117,306 : x
  2. Step 2: Convert to fraction form
    54,482/117,306 = 117,306/x
  3. Step 3: Cross multiply
    54,482x = 117,306 × 117,306
  4. Step 4: Simplify right side
    54,482x = 13,760,697,636
  5. Step 5: Solve for x
    x = 13,760,697,636/54,482
  6. Step 6: Final answer
    x = 252,573.28

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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.