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Finding the Third Proportional to 54,075 and 72,333.75

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Solution

The third proportional to 54,075 and 72,333.75 is: 96,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,075 : 72,333.75 = 72,333.75 : x
  2. Step 2: Convert to fraction form
    54,075/72,333.75 = 72,333.75/x
  3. Step 3: Cross multiply
    54,075x = 72,333.75 × 72,333.75
  4. Step 4: Simplify right side
    54,075x = 5,232,171,389.06
  5. Step 5: Solve for x
    x = 5,232,171,389.06/54,075
  6. Step 6: Final answer
    x = 96,757.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.