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Finding the Third Proportional to 86,096 and 129,640

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Solution

The third proportional to 86,096 and 129,640 is: 195,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,096 : 129,640 = 129,640 : x
  2. Step 2: Convert to fraction form
    86,096/129,640 = 129,640/x
  3. Step 3: Cross multiply
    86,096x = 129,640 × 129,640
  4. Step 4: Simplify right side
    86,096x = 16,806,529,600
  5. Step 5: Solve for x
    x = 16,806,529,600/86,096
  6. Step 6: Final answer
    x = 195,206.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.