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Finding the Third Proportional to 71,343 and 110,404

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Solution

The third proportional to 71,343 and 110,404 is: 170,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,343 : 110,404 = 110,404 : x
  2. Step 2: Convert to fraction form
    71,343/110,404 = 110,404/x
  3. Step 3: Cross multiply
    71,343x = 110,404 × 110,404
  4. Step 4: Simplify right side
    71,343x = 12,189,043,216
  5. Step 5: Solve for x
    x = 12,189,043,216/71,343
  6. Step 6: Final answer
    x = 170,851.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.