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Finding the Third Proportional to 48,245 and 74,555

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Solution

The third proportional to 48,245 and 74,555 is: 115,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,245 : 74,555 = 74,555 : x
  2. Step 2: Convert to fraction form
    48,245/74,555 = 74,555/x
  3. Step 3: Cross multiply
    48,245x = 74,555 × 74,555
  4. Step 4: Simplify right side
    48,245x = 5,558,448,025
  5. Step 5: Solve for x
    x = 5,558,448,025/48,245
  6. Step 6: Final answer
    x = 115,212.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.