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Finding the Third Proportional to 112,695 and 174,408

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Solution

The third proportional to 112,695 and 174,408 is: 269,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,695 : 174,408 = 174,408 : x
  2. Step 2: Convert to fraction form
    112,695/174,408 = 174,408/x
  3. Step 3: Cross multiply
    112,695x = 174,408 × 174,408
  4. Step 4: Simplify right side
    112,695x = 30,418,150,464
  5. Step 5: Solve for x
    x = 30,418,150,464/112,695
  6. Step 6: Final answer
    x = 269,915.71

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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.