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Finding the Third Proportional to 133,660 and 176,674

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Solution

The third proportional to 133,660 and 176,674 is: 233,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,660 : 176,674 = 176,674 : x
  2. Step 2: Convert to fraction form
    133,660/176,674 = 176,674/x
  3. Step 3: Cross multiply
    133,660x = 176,674 × 176,674
  4. Step 4: Simplify right side
    133,660x = 31,213,702,276
  5. Step 5: Solve for x
    x = 31,213,702,276/133,660
  6. Step 6: Final answer
    x = 233,530.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.