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Finding the Third Proportional to 48,099 and 102,732

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Solution

The third proportional to 48,099 and 102,732 is: 219,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,099 : 102,732 = 102,732 : x
  2. Step 2: Convert to fraction form
    48,099/102,732 = 102,732/x
  3. Step 3: Cross multiply
    48,099x = 102,732 × 102,732
  4. Step 4: Simplify right side
    48,099x = 10,553,863,824
  5. Step 5: Solve for x
    x = 10,553,863,824/48,099
  6. Step 6: Final answer
    x = 219,419.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.