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Finding the Third Proportional to 48,788 and 104,972

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Solution

The third proportional to 48,788 and 104,972 is: 225,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,788 : 104,972 = 104,972 : x
  2. Step 2: Convert to fraction form
    48,788/104,972 = 104,972/x
  3. Step 3: Cross multiply
    48,788x = 104,972 × 104,972
  4. Step 4: Simplify right side
    48,788x = 11,019,120,784
  5. Step 5: Solve for x
    x = 11,019,120,784/48,788
  6. Step 6: Final answer
    x = 225,857.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.