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Finding the Third Proportional to 71,154 and 107,199.75

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Solution

The third proportional to 71,154 and 107,199.75 is: 161,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,154 : 107,199.75 = 107,199.75 : x
  2. Step 2: Convert to fraction form
    71,154/107,199.75 = 107,199.75/x
  3. Step 3: Cross multiply
    71,154x = 107,199.75 × 107,199.75
  4. Step 4: Simplify right side
    71,154x = 11,491,786,400.06
  5. Step 5: Solve for x
    x = 11,491,786,400.06/71,154
  6. Step 6: Final answer
    x = 161,505.84

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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.