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Finding the Third Proportional to 75,750 and 164,604

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Solution

The third proportional to 75,750 and 164,604 is: 357,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,750 : 164,604 = 164,604 : x
  2. Step 2: Convert to fraction form
    75,750/164,604 = 164,604/x
  3. Step 3: Cross multiply
    75,750x = 164,604 × 164,604
  4. Step 4: Simplify right side
    75,750x = 27,094,476,816
  5. Step 5: Solve for x
    x = 27,094,476,816/75,750
  6. Step 6: Final answer
    x = 357,682.86

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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.