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Finding the Third Proportional to 84,072 and 125,764

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Solution

The third proportional to 84,072 and 125,764 is: 188,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,072 : 125,764 = 125,764 : x
  2. Step 2: Convert to fraction form
    84,072/125,764 = 125,764/x
  3. Step 3: Cross multiply
    84,072x = 125,764 × 125,764
  4. Step 4: Simplify right side
    84,072x = 15,816,583,696
  5. Step 5: Solve for x
    x = 15,816,583,696/84,072
  6. Step 6: Final answer
    x = 188,131.41

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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.