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Finding the Third Proportional to 96,531.75 and 139,011.19

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Solution

The third proportional to 96,531.75 and 139,011.19 is: 200,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,531.75 : 139,011.19 = 139,011.19 : x
  2. Step 2: Convert to fraction form
    96,531.75/139,011.19 = 139,011.19/x
  3. Step 3: Cross multiply
    96,531.75x = 139,011.19 × 139,011.19
  4. Step 4: Simplify right side
    96,531.75x = 19,324,110,250.16
  5. Step 5: Solve for x
    x = 19,324,110,250.16/96,531.75
  6. Step 6: Final answer
    x = 200,183.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.