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Finding the Third Proportional to 84,674 and 126,595

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Solution

The third proportional to 84,674 and 126,595 is: 189,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,674 : 126,595 = 126,595 : x
  2. Step 2: Convert to fraction form
    84,674/126,595 = 126,595/x
  3. Step 3: Cross multiply
    84,674x = 126,595 × 126,595
  4. Step 4: Simplify right side
    84,674x = 16,026,294,025
  5. Step 5: Solve for x
    x = 16,026,294,025/84,674
  6. Step 6: Final answer
    x = 189,270.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.