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Finding the Third Proportional to 48,516 and 105,744

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Solution

The third proportional to 48,516 and 105,744 is: 230,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,516 : 105,744 = 105,744 : x
  2. Step 2: Convert to fraction form
    48,516/105,744 = 105,744/x
  3. Step 3: Cross multiply
    48,516x = 105,744 × 105,744
  4. Step 4: Simplify right side
    48,516x = 11,181,793,536
  5. Step 5: Solve for x
    x = 11,181,793,536/48,516
  6. Step 6: Final answer
    x = 230,476.41

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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.