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Finding the Third Proportional to 54,421.88 and 84,059.44

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Solution

The third proportional to 54,421.88 and 84,059.44 is: 129,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,421.88 : 84,059.44 = 84,059.44 : x
  2. Step 2: Convert to fraction form
    54,421.88/84,059.44 = 84,059.44/x
  3. Step 3: Cross multiply
    54,421.88x = 84,059.44 × 84,059.44
  4. Step 4: Simplify right side
    54,421.88x = 7,065,989,032.82
  5. Step 5: Solve for x
    x = 7,065,989,032.82/54,421.88
  6. Step 6: Final answer
    x = 129,837.29

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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.