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Finding the Third Proportional to 75,330 and 163,620

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Solution

The third proportional to 75,330 and 163,620 is: 355,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 163,620 = 163,620 : x
  2. Step 2: Convert to fraction form
    75,330/163,620 = 163,620/x
  3. Step 3: Cross multiply
    75,330x = 163,620 × 163,620
  4. Step 4: Simplify right side
    75,330x = 26,771,504,400
  5. Step 5: Solve for x
    x = 26,771,504,400/75,330
  6. Step 6: Final answer
    x = 355,389.68

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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.