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Finding the Third Proportional to 59,640 and 126,390

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Solution

The third proportional to 59,640 and 126,390 is: 267,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,640 : 126,390 = 126,390 : x
  2. Step 2: Convert to fraction form
    59,640/126,390 = 126,390/x
  3. Step 3: Cross multiply
    59,640x = 126,390 × 126,390
  4. Step 4: Simplify right side
    59,640x = 15,974,432,100
  5. Step 5: Solve for x
    x = 15,974,432,100/59,640
  6. Step 6: Final answer
    x = 267,847.62

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