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Finding the Third Proportional to 113,676.75 and 173,967

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Solution

The third proportional to 113,676.75 and 173,967 is: 266,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676.75 : 173,967 = 173,967 : x
  2. Step 2: Convert to fraction form
    113,676.75/173,967 = 173,967/x
  3. Step 3: Cross multiply
    113,676.75x = 173,967 × 173,967
  4. Step 4: Simplify right side
    113,676.75x = 30,264,517,089
  5. Step 5: Solve for x
    x = 30,264,517,089/113,676.75
  6. Step 6: Final answer
    x = 266,233.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.