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Finding the Third Proportional to 27,256 and 60,335

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Solution

The third proportional to 27,256 and 60,335 is: 133,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,256 : 60,335 = 60,335 : x
  2. Step 2: Convert to fraction form
    27,256/60,335 = 60,335/x
  3. Step 3: Cross multiply
    27,256x = 60,335 × 60,335
  4. Step 4: Simplify right side
    27,256x = 3,640,312,225
  5. Step 5: Solve for x
    x = 3,640,312,225/27,256
  6. Step 6: Final answer
    x = 133,560.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.