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Finding the Third Proportional to 110,371 and 170,861.75

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Solution

The third proportional to 110,371 and 170,861.75 is: 264,505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,371 : 170,861.75 = 170,861.75 : x
  2. Step 2: Convert to fraction form
    110,371/170,861.75 = 170,861.75/x
  3. Step 3: Cross multiply
    110,371x = 170,861.75 × 170,861.75
  4. Step 4: Simplify right side
    110,371x = 29,193,737,613.06
  5. Step 5: Solve for x
    x = 29,193,737,613.06/110,371
  6. Step 6: Final answer
    x = 264,505.51

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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.