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Finding the Third Proportional to 117,092 and 173,606

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Solution

The third proportional to 117,092 and 173,606 is: 257,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,092 : 173,606 = 173,606 : x
  2. Step 2: Convert to fraction form
    117,092/173,606 = 173,606/x
  3. Step 3: Cross multiply
    117,092x = 173,606 × 173,606
  4. Step 4: Simplify right side
    117,092x = 30,139,043,236
  5. Step 5: Solve for x
    x = 30,139,043,236/117,092
  6. Step 6: Final answer
    x = 257,396.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.