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Finding the Third Proportional to 84,150.56 and 140,243.06

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Solution

The third proportional to 84,150.56 and 140,243.06 is: 233,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,150.56 : 140,243.06 = 140,243.06 : x
  2. Step 2: Convert to fraction form
    84,150.56/140,243.06 = 140,243.06/x
  3. Step 3: Cross multiply
    84,150.56x = 140,243.06 × 140,243.06
  4. Step 4: Simplify right side
    84,150.56x = 19,668,116,579.38
  5. Step 5: Solve for x
    x = 19,668,116,579.38/84,150.56
  6. Step 6: Final answer
    x = 233,725.31

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.