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Finding the Third Proportional to 54,243 and 81,075

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Solution

The third proportional to 54,243 and 81,075 is: 121,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,243 : 81,075 = 81,075 : x
  2. Step 2: Convert to fraction form
    54,243/81,075 = 81,075/x
  3. Step 3: Cross multiply
    54,243x = 81,075 × 81,075
  4. Step 4: Simplify right side
    54,243x = 6,573,155,625
  5. Step 5: Solve for x
    x = 6,573,155,625/54,243
  6. Step 6: Final answer
    x = 121,179.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.