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Finding the Third Proportional to 54,015.19 and 84,133.69

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Solution

The third proportional to 54,015.19 and 84,133.69 is: 131,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,015.19 : 84,133.69 = 84,133.69 : x
  2. Step 2: Convert to fraction form
    54,015.19/84,133.69 = 84,133.69/x
  3. Step 3: Cross multiply
    54,015.19x = 84,133.69 × 84,133.69
  4. Step 4: Simplify right side
    54,015.19x = 7,078,477,372.35
  5. Step 5: Solve for x
    x = 7,078,477,372.35/54,015.19
  6. Step 6: Final answer
    x = 131,046.06

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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.