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Finding the Third Proportional to 47,619 and 112,815

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Solution

The third proportional to 47,619 and 112,815 is: 267,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,619 : 112,815 = 112,815 : x
  2. Step 2: Convert to fraction form
    47,619/112,815 = 112,815/x
  3. Step 3: Cross multiply
    47,619x = 112,815 × 112,815
  4. Step 4: Simplify right side
    47,619x = 12,727,224,225
  5. Step 5: Solve for x
    x = 12,727,224,225/47,619
  6. Step 6: Final answer
    x = 267,271.98

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.