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Finding the Third Proportional to 79,944 and 115,495

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Solution

The third proportional to 79,944 and 115,495 is: 166,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,944 : 115,495 = 115,495 : x
  2. Step 2: Convert to fraction form
    79,944/115,495 = 115,495/x
  3. Step 3: Cross multiply
    79,944x = 115,495 × 115,495
  4. Step 4: Simplify right side
    79,944x = 13,339,095,025
  5. Step 5: Solve for x
    x = 13,339,095,025/79,944
  6. Step 6: Final answer
    x = 166,855.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.