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Finding the Third Proportional to 59,640 and 126,177

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Solution

The third proportional to 59,640 and 126,177 is: 266,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,640 : 126,177 = 126,177 : x
  2. Step 2: Convert to fraction form
    59,640/126,177 = 126,177/x
  3. Step 3: Cross multiply
    59,640x = 126,177 × 126,177
  4. Step 4: Simplify right side
    59,640x = 15,920,635,329
  5. Step 5: Solve for x
    x = 15,920,635,329/59,640
  6. Step 6: Final answer
    x = 266,945.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.