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Finding the Third Proportional to 54,538.88 and 83,801.25

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Solution

The third proportional to 54,538.88 and 83,801.25 is: 128,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538.88 : 83,801.25 = 83,801.25 : x
  2. Step 2: Convert to fraction form
    54,538.88/83,801.25 = 83,801.25/x
  3. Step 3: Cross multiply
    54,538.88x = 83,801.25 × 83,801.25
  4. Step 4: Simplify right side
    54,538.88x = 7,022,649,501.56
  5. Step 5: Solve for x
    x = 7,022,649,501.56/54,538.88
  6. Step 6: Final answer
    x = 128,764.11

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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.