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Finding the Third Proportional to 48,640 and 105,796

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Solution

The third proportional to 48,640 and 105,796 is: 230,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,640 : 105,796 = 105,796 : x
  2. Step 2: Convert to fraction form
    48,640/105,796 = 105,796/x
  3. Step 3: Cross multiply
    48,640x = 105,796 × 105,796
  4. Step 4: Simplify right side
    48,640x = 11,192,793,616
  5. Step 5: Solve for x
    x = 11,192,793,616/48,640
  6. Step 6: Final answer
    x = 230,115.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.