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Finding the Third Proportional to 48,247 and 74,218

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Solution

The third proportional to 48,247 and 74,218 is: 114,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,247 : 74,218 = 74,218 : x
  2. Step 2: Convert to fraction form
    48,247/74,218 = 74,218/x
  3. Step 3: Cross multiply
    48,247x = 74,218 × 74,218
  4. Step 4: Simplify right side
    48,247x = 5,508,311,524
  5. Step 5: Solve for x
    x = 5,508,311,524/48,247
  6. Step 6: Final answer
    x = 114,169.00

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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.