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Finding the Third Proportional to 68,096 and 99,552

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Solution

The third proportional to 68,096 and 99,552 is: 145,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096 : 99,552 = 99,552 : x
  2. Step 2: Convert to fraction form
    68,096/99,552 = 99,552/x
  3. Step 3: Cross multiply
    68,096x = 99,552 × 99,552
  4. Step 4: Simplify right side
    68,096x = 9,910,600,704
  5. Step 5: Solve for x
    x = 9,910,600,704/68,096
  6. Step 6: Final answer
    x = 145,538.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.