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Finding the Third Proportional to 54,548.44 and 83,816.02

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Solution

The third proportional to 54,548.44 and 83,816.02 is: 128,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548.44 : 83,816.02 = 83,816.02 : x
  2. Step 2: Convert to fraction form
    54,548.44/83,816.02 = 83,816.02/x
  3. Step 3: Cross multiply
    54,548.44x = 83,816.02 × 83,816.02
  4. Step 4: Simplify right side
    54,548.44x = 7,025,124,475.25
  5. Step 5: Solve for x
    x = 7,025,124,475.25/54,548.44
  6. Step 6: Final answer
    x = 128,786.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.