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Finding the Third Proportional to 96,670 and 136,135

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Solution

The third proportional to 96,670 and 136,135 is: 191,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,670 : 136,135 = 136,135 : x
  2. Step 2: Convert to fraction form
    96,670/136,135 = 136,135/x
  3. Step 3: Cross multiply
    96,670x = 136,135 × 136,135
  4. Step 4: Simplify right side
    96,670x = 18,532,738,225
  5. Step 5: Solve for x
    x = 18,532,738,225/96,670
  6. Step 6: Final answer
    x = 191,711.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.