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Finding the Third Proportional to 54,544 and 119,498

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Solution

The third proportional to 54,544 and 119,498 is: 261,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,544 : 119,498 = 119,498 : x
  2. Step 2: Convert to fraction form
    54,544/119,498 = 119,498/x
  3. Step 3: Cross multiply
    54,544x = 119,498 × 119,498
  4. Step 4: Simplify right side
    54,544x = 14,279,772,004
  5. Step 5: Solve for x
    x = 14,279,772,004/54,544
  6. Step 6: Final answer
    x = 261,802.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.