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Finding the Third Proportional to 48,320 and 106,144

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Solution

The third proportional to 48,320 and 106,144 is: 233,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,320 : 106,144 = 106,144 : x
  2. Step 2: Convert to fraction form
    48,320/106,144 = 106,144/x
  3. Step 3: Cross multiply
    48,320x = 106,144 × 106,144
  4. Step 4: Simplify right side
    48,320x = 11,266,548,736
  5. Step 5: Solve for x
    x = 11,266,548,736/48,320
  6. Step 6: Final answer
    x = 233,165.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.