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Finding the Third Proportional to 133,162.88 and 187,302.38

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Solution

The third proportional to 133,162.88 and 187,302.38 is: 263,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,162.88 : 187,302.38 = 187,302.38 : x
  2. Step 2: Convert to fraction form
    133,162.88/187,302.38 = 187,302.38/x
  3. Step 3: Cross multiply
    133,162.88x = 187,302.38 × 187,302.38
  4. Step 4: Simplify right side
    133,162.88x = 35,082,179,680.64
  5. Step 5: Solve for x
    x = 35,082,179,680.64/133,162.88
  6. Step 6: Final answer
    x = 263,453.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.