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Finding the Third Proportional to 133,687.13 and 208,731.94

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Solution

The third proportional to 133,687.13 and 208,731.94 is: 325,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,687.13 : 208,731.94 = 208,731.94 : x
  2. Step 2: Convert to fraction form
    133,687.13/208,731.94 = 208,731.94/x
  3. Step 3: Cross multiply
    133,687.13x = 208,731.94 × 208,731.94
  4. Step 4: Simplify right side
    133,687.13x = 43,569,021,732.50
  5. Step 5: Solve for x
    x = 43,569,021,732.50/133,687.13
  6. Step 6: Final answer
    x = 325,902.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.