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Finding the Third Proportional to 76,415 and 165,958

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Solution

The third proportional to 76,415 and 165,958 is: 360,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415 : 165,958 = 165,958 : x
  2. Step 2: Convert to fraction form
    76,415/165,958 = 165,958/x
  3. Step 3: Cross multiply
    76,415x = 165,958 × 165,958
  4. Step 4: Simplify right side
    76,415x = 27,542,057,764
  5. Step 5: Solve for x
    x = 27,542,057,764/76,415
  6. Step 6: Final answer
    x = 360,427.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.