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Finding the Third Proportional to 75,271.88 and 165,304.13

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Solution

The third proportional to 75,271.88 and 165,304.13 is: 363,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271.88 : 165,304.13 = 165,304.13 : x
  2. Step 2: Convert to fraction form
    75,271.88/165,304.13 = 165,304.13/x
  3. Step 3: Cross multiply
    75,271.88x = 165,304.13 × 165,304.13
  4. Step 4: Simplify right side
    75,271.88x = 27,325,453,742.02
  5. Step 5: Solve for x
    x = 27,325,453,742.02/75,271.88
  6. Step 6: Final answer
    x = 363,023.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.