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Finding the Third Proportional to 54,000.11 and 84,114.07

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Solution

The third proportional to 54,000.11 and 84,114.07 is: 131,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000.11 : 84,114.07 = 84,114.07 : x
  2. Step 2: Convert to fraction form
    54,000.11/84,114.07 = 84,114.07/x
  3. Step 3: Cross multiply
    54,000.11x = 84,114.07 × 84,114.07
  4. Step 4: Simplify right side
    54,000.11x = 7,075,176,824.54
  5. Step 5: Solve for x
    x = 7,075,176,824.54/54,000.11
  6. Step 6: Final answer
    x = 131,021.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.