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Finding the Third Proportional to 71,236 and 112,799

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Solution

The third proportional to 71,236 and 112,799 is: 178,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,236 : 112,799 = 112,799 : x
  2. Step 2: Convert to fraction form
    71,236/112,799 = 112,799/x
  3. Step 3: Cross multiply
    71,236x = 112,799 × 112,799
  4. Step 4: Simplify right side
    71,236x = 12,723,614,401
  5. Step 5: Solve for x
    x = 12,723,614,401/71,236
  6. Step 6: Final answer
    x = 178,612.14

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.