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Finding the Third Proportional to 75,172 and 165,896

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Solution

The third proportional to 75,172 and 165,896 is: 366,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172 : 165,896 = 165,896 : x
  2. Step 2: Convert to fraction form
    75,172/165,896 = 165,896/x
  3. Step 3: Cross multiply
    75,172x = 165,896 × 165,896
  4. Step 4: Simplify right side
    75,172x = 27,521,482,816
  5. Step 5: Solve for x
    x = 27,521,482,816/75,172
  6. Step 6: Final answer
    x = 366,113.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.