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Finding the Third Proportional to 48,642 and 105,805

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Solution

The third proportional to 48,642 and 105,805 is: 230,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642 : 105,805 = 105,805 : x
  2. Step 2: Convert to fraction form
    48,642/105,805 = 105,805/x
  3. Step 3: Cross multiply
    48,642x = 105,805 × 105,805
  4. Step 4: Simplify right side
    48,642x = 11,194,698,025
  5. Step 5: Solve for x
    x = 11,194,698,025/48,642
  6. Step 6: Final answer
    x = 230,144.69

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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.