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Finding the Third Proportional to 48,636 and 100,642

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Solution

The third proportional to 48,636 and 100,642 is: 208,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,636 : 100,642 = 100,642 : x
  2. Step 2: Convert to fraction form
    48,636/100,642 = 100,642/x
  3. Step 3: Cross multiply
    48,636x = 100,642 × 100,642
  4. Step 4: Simplify right side
    48,636x = 10,128,812,164
  5. Step 5: Solve for x
    x = 10,128,812,164/48,636
  6. Step 6: Final answer
    x = 208,257.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.