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Finding the Third Proportional to 48,986 and 105,460

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Solution

The third proportional to 48,986 and 105,460 is: 227,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,986 : 105,460 = 105,460 : x
  2. Step 2: Convert to fraction form
    48,986/105,460 = 105,460/x
  3. Step 3: Cross multiply
    48,986x = 105,460 × 105,460
  4. Step 4: Simplify right side
    48,986x = 11,121,811,600
  5. Step 5: Solve for x
    x = 11,121,811,600/48,986
  6. Step 6: Final answer
    x = 227,040.62

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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.