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Finding the Third Proportional to 54,075.94 and 116,472.09

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Solution

The third proportional to 54,075.94 and 116,472.09 is: 250,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,075.94 : 116,472.09 = 116,472.09 : x
  2. Step 2: Convert to fraction form
    54,075.94/116,472.09 = 116,472.09/x
  3. Step 3: Cross multiply
    54,075.94x = 116,472.09 × 116,472.09
  4. Step 4: Simplify right side
    54,075.94x = 13,565,748,622.51
  5. Step 5: Solve for x
    x = 13,565,748,622.51/54,075.94
  6. Step 6: Final answer
    x = 250,864.79

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