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Finding the Third Proportional to 48,405 and 106,356

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Solution

The third proportional to 48,405 and 106,356 is: 233,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,405 : 106,356 = 106,356 : x
  2. Step 2: Convert to fraction form
    48,405/106,356 = 106,356/x
  3. Step 3: Cross multiply
    48,405x = 106,356 × 106,356
  4. Step 4: Simplify right side
    48,405x = 11,311,598,736
  5. Step 5: Solve for x
    x = 11,311,598,736/48,405
  6. Step 6: Final answer
    x = 233,686.58

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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.