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Finding the Third Proportional to 48,288 and 102,006

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Solution

The third proportional to 48,288 and 102,006 is: 215,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,288 : 102,006 = 102,006 : x
  2. Step 2: Convert to fraction form
    48,288/102,006 = 102,006/x
  3. Step 3: Cross multiply
    48,288x = 102,006 × 102,006
  4. Step 4: Simplify right side
    48,288x = 10,405,224,036
  5. Step 5: Solve for x
    x = 10,405,224,036/48,288
  6. Step 6: Final answer
    x = 215,482.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.