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Finding the Third Proportional to 75,288 and 163,544

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Solution

The third proportional to 75,288 and 163,544 is: 355,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,288 : 163,544 = 163,544 : x
  2. Step 2: Convert to fraction form
    75,288/163,544 = 163,544/x
  3. Step 3: Cross multiply
    75,288x = 163,544 × 163,544
  4. Step 4: Simplify right side
    75,288x = 26,746,639,936
  5. Step 5: Solve for x
    x = 26,746,639,936/75,288
  6. Step 6: Final answer
    x = 355,257.68

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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.