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Finding the Third Proportional to 72,044 and 115,756

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Solution

The third proportional to 72,044 and 115,756 is: 185,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,044 : 115,756 = 115,756 : x
  2. Step 2: Convert to fraction form
    72,044/115,756 = 115,756/x
  3. Step 3: Cross multiply
    72,044x = 115,756 × 115,756
  4. Step 4: Simplify right side
    72,044x = 13,399,451,536
  5. Step 5: Solve for x
    x = 13,399,451,536/72,044
  6. Step 6: Final answer
    x = 185,989.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.