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Finding the Third Proportional to 48,967 and 73,264

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Solution

The third proportional to 48,967 and 73,264 is: 109,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,967 : 73,264 = 73,264 : x
  2. Step 2: Convert to fraction form
    48,967/73,264 = 73,264/x
  3. Step 3: Cross multiply
    48,967x = 73,264 × 73,264
  4. Step 4: Simplify right side
    48,967x = 5,367,613,696
  5. Step 5: Solve for x
    x = 5,367,613,696/48,967
  6. Step 6: Final answer
    x = 109,616.96

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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.