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Finding the Third Proportional to 133,512 and 186,660

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Solution

The third proportional to 133,512 and 186,660 is: 260,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,512 : 186,660 = 186,660 : x
  2. Step 2: Convert to fraction form
    133,512/186,660 = 186,660/x
  3. Step 3: Cross multiply
    133,512x = 186,660 × 186,660
  4. Step 4: Simplify right side
    133,512x = 34,841,955,600
  5. Step 5: Solve for x
    x = 34,841,955,600/133,512
  6. Step 6: Final answer
    x = 260,964.97

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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.