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Finding the Third Proportional to 48,644 and 104,884

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Solution

The third proportional to 48,644 and 104,884 is: 226,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,644 : 104,884 = 104,884 : x
  2. Step 2: Convert to fraction form
    48,644/104,884 = 104,884/x
  3. Step 3: Cross multiply
    48,644x = 104,884 × 104,884
  4. Step 4: Simplify right side
    48,644x = 11,000,653,456
  5. Step 5: Solve for x
    x = 11,000,653,456/48,644
  6. Step 6: Final answer
    x = 226,146.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.