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Finding the Third Proportional to 48,144 and 74,100

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Solution

The third proportional to 48,144 and 74,100 is: 114,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,144 : 74,100 = 74,100 : x
  2. Step 2: Convert to fraction form
    48,144/74,100 = 74,100/x
  3. Step 3: Cross multiply
    48,144x = 74,100 × 74,100
  4. Step 4: Simplify right side
    48,144x = 5,490,810,000
  5. Step 5: Solve for x
    x = 5,490,810,000/48,144
  6. Step 6: Final answer
    x = 114,049.73

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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.