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Finding the Third Proportional to 86,096 and 129,142

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Solution

The third proportional to 86,096 and 129,142 is: 193,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,096 : 129,142 = 129,142 : x
  2. Step 2: Convert to fraction form
    86,096/129,142 = 129,142/x
  3. Step 3: Cross multiply
    86,096x = 129,142 × 129,142
  4. Step 4: Simplify right side
    86,096x = 16,677,656,164
  5. Step 5: Solve for x
    x = 16,677,656,164/86,096
  6. Step 6: Final answer
    x = 193,710.00

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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.