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Finding the Third Proportional to 95,614.75 and 140,638.75

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Solution

The third proportional to 95,614.75 and 140,638.75 is: 206,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,614.75 : 140,638.75 = 140,638.75 : x
  2. Step 2: Convert to fraction form
    95,614.75/140,638.75 = 140,638.75/x
  3. Step 3: Cross multiply
    95,614.75x = 140,638.75 × 140,638.75
  4. Step 4: Simplify right side
    95,614.75x = 19,779,258,001.56
  5. Step 5: Solve for x
    x = 19,779,258,001.56/95,614.75
  6. Step 6: Final answer
    x = 206,864.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.