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Finding the Third Proportional to 27,235 and 60,301

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Solution

The third proportional to 27,235 and 60,301 is: 133,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,235 : 60,301 = 60,301 : x
  2. Step 2: Convert to fraction form
    27,235/60,301 = 60,301/x
  3. Step 3: Cross multiply
    27,235x = 60,301 × 60,301
  4. Step 4: Simplify right side
    27,235x = 3,636,210,601
  5. Step 5: Solve for x
    x = 3,636,210,601/27,235
  6. Step 6: Final answer
    x = 133,512.41

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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.