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Finding the Third Proportional to 48,713 and 106,255

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Solution

The third proportional to 48,713 and 106,255 is: 231,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713 : 106,255 = 106,255 : x
  2. Step 2: Convert to fraction form
    48,713/106,255 = 106,255/x
  3. Step 3: Cross multiply
    48,713x = 106,255 × 106,255
  4. Step 4: Simplify right side
    48,713x = 11,290,125,025
  5. Step 5: Solve for x
    x = 11,290,125,025/48,713
  6. Step 6: Final answer
    x = 231,768.21

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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.