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Finding the Third Proportional to 133,560 and 186,732

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Solution

The third proportional to 133,560 and 186,732 is: 261,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,560 : 186,732 = 186,732 : x
  2. Step 2: Convert to fraction form
    133,560/186,732 = 186,732/x
  3. Step 3: Cross multiply
    133,560x = 186,732 × 186,732
  4. Step 4: Simplify right side
    133,560x = 34,868,839,824
  5. Step 5: Solve for x
    x = 34,868,839,824/133,560
  6. Step 6: Final answer
    x = 261,072.48

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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.