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Finding the Third Proportional to 133,576 and 186,756

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Solution

The third proportional to 133,576 and 186,756 is: 261,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,576 : 186,756 = 186,756 : x
  2. Step 2: Convert to fraction form
    133,576/186,756 = 186,756/x
  3. Step 3: Cross multiply
    133,576x = 186,756 × 186,756
  4. Step 4: Simplify right side
    133,576x = 34,877,803,536
  5. Step 5: Solve for x
    x = 34,877,803,536/133,576
  6. Step 6: Final answer
    x = 261,108.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.