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Finding the Third Proportional to 133,926.75 and 178,534.13

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Solution

The third proportional to 133,926.75 and 178,534.13 is: 237,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,926.75 : 178,534.13 = 178,534.13 : x
  2. Step 2: Convert to fraction form
    133,926.75/178,534.13 = 178,534.13/x
  3. Step 3: Cross multiply
    133,926.75x = 178,534.13 × 178,534.13
  4. Step 4: Simplify right side
    133,926.75x = 31,874,433,789.52
  5. Step 5: Solve for x
    x = 31,874,433,789.52/133,926.75
  6. Step 6: Final answer
    x = 237,999.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.