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Finding the Third Proportional to 48,129 and 100,632

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Solution

The third proportional to 48,129 and 100,632 is: 210,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,129 : 100,632 = 100,632 : x
  2. Step 2: Convert to fraction form
    48,129/100,632 = 100,632/x
  3. Step 3: Cross multiply
    48,129x = 100,632 × 100,632
  4. Step 4: Simplify right side
    48,129x = 10,126,799,424
  5. Step 5: Solve for x
    x = 10,126,799,424/48,129
  6. Step 6: Final answer
    x = 210,409.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.