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Finding the Third Proportional to 60,177 and 126,564

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Solution

The third proportional to 60,177 and 126,564 is: 266,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,177 : 126,564 = 126,564 : x
  2. Step 2: Convert to fraction form
    60,177/126,564 = 126,564/x
  3. Step 3: Cross multiply
    60,177x = 126,564 × 126,564
  4. Step 4: Simplify right side
    60,177x = 16,018,446,096
  5. Step 5: Solve for x
    x = 16,018,446,096/60,177
  6. Step 6: Final answer
    x = 266,188.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.