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Finding the Third Proportional to 75,262 and 164,517

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Solution

The third proportional to 75,262 and 164,517 is: 359,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,262 : 164,517 = 164,517 : x
  2. Step 2: Convert to fraction form
    75,262/164,517 = 164,517/x
  3. Step 3: Cross multiply
    75,262x = 164,517 × 164,517
  4. Step 4: Simplify right side
    75,262x = 27,065,843,289
  5. Step 5: Solve for x
    x = 27,065,843,289/75,262
  6. Step 6: Final answer
    x = 359,621.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.