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Finding the Third Proportional to 48,234 and 100,164

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Solution

The third proportional to 48,234 and 100,164 is: 208,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,234 : 100,164 = 100,164 : x
  2. Step 2: Convert to fraction form
    48,234/100,164 = 100,164/x
  3. Step 3: Cross multiply
    48,234x = 100,164 × 100,164
  4. Step 4: Simplify right side
    48,234x = 10,032,826,896
  5. Step 5: Solve for x
    x = 10,032,826,896/48,234
  6. Step 6: Final answer
    x = 208,003.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.