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Finding the Third Proportional to 68,106 and 95,353

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Solution

The third proportional to 68,106 and 95,353 is: 133,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106 : 95,353 = 95,353 : x
  2. Step 2: Convert to fraction form
    68,106/95,353 = 95,353/x
  3. Step 3: Cross multiply
    68,106x = 95,353 × 95,353
  4. Step 4: Simplify right side
    68,106x = 9,092,194,609
  5. Step 5: Solve for x
    x = 9,092,194,609/68,106
  6. Step 6: Final answer
    x = 133,500.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.