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Finding the Third Proportional to 37,256 and 78,652

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Solution

The third proportional to 37,256 and 78,652 is: 166,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,256 : 78,652 = 78,652 : x
  2. Step 2: Convert to fraction form
    37,256/78,652 = 78,652/x
  3. Step 3: Cross multiply
    37,256x = 78,652 × 78,652
  4. Step 4: Simplify right side
    37,256x = 6,186,137,104
  5. Step 5: Solve for x
    x = 6,186,137,104/37,256
  6. Step 6: Final answer
    x = 166,044.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.