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Finding the Third Proportional to 60,164 and 131,608

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Solution

The third proportional to 60,164 and 131,608 is: 287,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,164 : 131,608 = 131,608 : x
  2. Step 2: Convert to fraction form
    60,164/131,608 = 131,608/x
  3. Step 3: Cross multiply
    60,164x = 131,608 × 131,608
  4. Step 4: Simplify right side
    60,164x = 17,320,665,664
  5. Step 5: Solve for x
    x = 17,320,665,664/60,164
  6. Step 6: Final answer
    x = 287,890.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.