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Finding the Third Proportional to 48,858 and 73,255

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Solution

The third proportional to 48,858 and 73,255 is: 109,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,858 : 73,255 = 73,255 : x
  2. Step 2: Convert to fraction form
    48,858/73,255 = 73,255/x
  3. Step 3: Cross multiply
    48,858x = 73,255 × 73,255
  4. Step 4: Simplify right side
    48,858x = 5,366,295,025
  5. Step 5: Solve for x
    x = 5,366,295,025/48,858
  6. Step 6: Final answer
    x = 109,834.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.