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Finding the Third Proportional to 133,842.38 and 195,728.06

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Solution

The third proportional to 133,842.38 and 195,728.06 is: 286,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,842.38 : 195,728.06 = 195,728.06 : x
  2. Step 2: Convert to fraction form
    133,842.38/195,728.06 = 195,728.06/x
  3. Step 3: Cross multiply
    133,842.38x = 195,728.06 × 195,728.06
  4. Step 4: Simplify right side
    133,842.38x = 38,309,474,450.00
  5. Step 5: Solve for x
    x = 38,309,474,450.00/133,842.38
  6. Step 6: Final answer
    x = 286,228.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.