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Finding the Third Proportional to 36,256 and 74,464

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Solution

The third proportional to 36,256 and 74,464 is: 152,937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,256 : 74,464 = 74,464 : x
  2. Step 2: Convert to fraction form
    36,256/74,464 = 74,464/x
  3. Step 3: Cross multiply
    36,256x = 74,464 × 74,464
  4. Step 4: Simplify right side
    36,256x = 5,544,887,296
  5. Step 5: Solve for x
    x = 5,544,887,296/36,256
  6. Step 6: Final answer
    x = 152,937.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.