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Finding the Third Proportional to 95,939.81 and 143,921.06

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Solution

The third proportional to 95,939.81 and 143,921.06 is: 215,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,939.81 : 143,921.06 = 143,921.06 : x
  2. Step 2: Convert to fraction form
    95,939.81/143,921.06 = 143,921.06/x
  3. Step 3: Cross multiply
    95,939.81x = 143,921.06 × 143,921.06
  4. Step 4: Simplify right side
    95,939.81x = 20,713,272,231.13
  5. Step 5: Solve for x
    x = 20,713,272,231.13/95,939.81
  6. Step 6: Final answer
    x = 215,898.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.