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Finding the Third Proportional to 75,421.75 and 111,828.25

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Solution

The third proportional to 75,421.75 and 111,828.25 is: 165,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,421.75 : 111,828.25 = 111,828.25 : x
  2. Step 2: Convert to fraction form
    75,421.75/111,828.25 = 111,828.25/x
  3. Step 3: Cross multiply
    75,421.75x = 111,828.25 × 111,828.25
  4. Step 4: Simplify right side
    75,421.75x = 12,505,557,498.06
  5. Step 5: Solve for x
    x = 12,505,557,498.06/75,421.75
  6. Step 6: Final answer
    x = 165,808.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.