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Finding the Third Proportional to 71,327 and 110,383

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Solution

The third proportional to 71,327 and 110,383 is: 170,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,327 : 110,383 = 110,383 : x
  2. Step 2: Convert to fraction form
    71,327/110,383 = 110,383/x
  3. Step 3: Cross multiply
    71,327x = 110,383 × 110,383
  4. Step 4: Simplify right side
    71,327x = 12,184,406,689
  5. Step 5: Solve for x
    x = 12,184,406,689/71,327
  6. Step 6: Final answer
    x = 170,824.61

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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.