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Finding the Third Proportional to 47,561.50 and 112,478.75

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Solution

The third proportional to 47,561.50 and 112,478.75 is: 266,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,561.50 : 112,478.75 = 112,478.75 : x
  2. Step 2: Convert to fraction form
    47,561.50/112,478.75 = 112,478.75/x
  3. Step 3: Cross multiply
    47,561.50x = 112,478.75 × 112,478.75
  4. Step 4: Simplify right side
    47,561.50x = 12,651,469,201.56
  5. Step 5: Solve for x
    x = 12,651,469,201.56/47,561.50
  6. Step 6: Final answer
    x = 266,002.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.