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Finding the Third Proportional to 48,632 and 100,636

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Solution

The third proportional to 48,632 and 100,636 is: 208,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,632 : 100,636 = 100,636 : x
  2. Step 2: Convert to fraction form
    48,632/100,636 = 100,636/x
  3. Step 3: Cross multiply
    48,632x = 100,636 × 100,636
  4. Step 4: Simplify right side
    48,632x = 10,127,604,496
  5. Step 5: Solve for x
    x = 10,127,604,496/48,632
  6. Step 6: Final answer
    x = 208,249.80

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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.