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Finding the Third Proportional to 47,753 and 73,705

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Solution

The third proportional to 47,753 and 73,705 is: 113,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,753 : 73,705 = 73,705 : x
  2. Step 2: Convert to fraction form
    47,753/73,705 = 73,705/x
  3. Step 3: Cross multiply
    47,753x = 73,705 × 73,705
  4. Step 4: Simplify right side
    47,753x = 5,432,427,025
  5. Step 5: Solve for x
    x = 5,432,427,025/47,753
  6. Step 6: Final answer
    x = 113,760.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.