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Finding the Third Proportional to 75,620 and 165,078

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Solution

The third proportional to 75,620 and 165,078 is: 360,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,620 : 165,078 = 165,078 : x
  2. Step 2: Convert to fraction form
    75,620/165,078 = 165,078/x
  3. Step 3: Cross multiply
    75,620x = 165,078 × 165,078
  4. Step 4: Simplify right side
    75,620x = 27,250,746,084
  5. Step 5: Solve for x
    x = 27,250,746,084/75,620
  6. Step 6: Final answer
    x = 360,364.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.