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Finding the Third Proportional to 75,272 and 164,368

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Solution

The third proportional to 75,272 and 164,368 is: 358,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,272 : 164,368 = 164,368 : x
  2. Step 2: Convert to fraction form
    75,272/164,368 = 164,368/x
  3. Step 3: Cross multiply
    75,272x = 164,368 × 164,368
  4. Step 4: Simplify right side
    75,272x = 27,016,839,424
  5. Step 5: Solve for x
    x = 27,016,839,424/75,272
  6. Step 6: Final answer
    x = 358,922.83

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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.