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Finding the Third Proportional to 48,177 and 74,144

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Solution

The third proportional to 48,177 and 74,144 is: 114,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,177 : 74,144 = 74,144 : x
  2. Step 2: Convert to fraction form
    48,177/74,144 = 74,144/x
  3. Step 3: Cross multiply
    48,177x = 74,144 × 74,144
  4. Step 4: Simplify right side
    48,177x = 5,497,332,736
  5. Step 5: Solve for x
    x = 5,497,332,736/48,177
  6. Step 6: Final answer
    x = 114,107.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.