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Finding the Third Proportional to 133,096.92 and 186,757.52

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Solution

The third proportional to 133,096.92 and 186,757.52 is: 262,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096.92 : 186,757.52 = 186,757.52 : x
  2. Step 2: Convert to fraction form
    133,096.92/186,757.52 = 186,757.52/x
  3. Step 3: Cross multiply
    133,096.92x = 186,757.52 × 186,757.52
  4. Step 4: Simplify right side
    133,096.92x = 34,878,372,560.51
  5. Step 5: Solve for x
    x = 34,878,372,560.51/133,096.92
  6. Step 6: Final answer
    x = 262,052.44

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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.