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Finding the Third Proportional to 47,650 and 110,792

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Solution

The third proportional to 47,650 and 110,792 is: 257,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650 : 110,792 = 110,792 : x
  2. Step 2: Convert to fraction form
    47,650/110,792 = 110,792/x
  3. Step 3: Cross multiply
    47,650x = 110,792 × 110,792
  4. Step 4: Simplify right side
    47,650x = 12,274,867,264
  5. Step 5: Solve for x
    x = 12,274,867,264/47,650
  6. Step 6: Final answer
    x = 257,604.77

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.