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Finding the Third Proportional to 66,096 and 102,600

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Solution

The third proportional to 66,096 and 102,600 is: 159,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,096 : 102,600 = 102,600 : x
  2. Step 2: Convert to fraction form
    66,096/102,600 = 102,600/x
  3. Step 3: Cross multiply
    66,096x = 102,600 × 102,600
  4. Step 4: Simplify right side
    66,096x = 10,526,760,000
  5. Step 5: Solve for x
    x = 10,526,760,000/66,096
  6. Step 6: Final answer
    x = 159,264.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.