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Finding the Third Proportional to 113,916 and 178,956

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Solution

The third proportional to 113,916 and 178,956 is: 281,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,916 : 178,956 = 178,956 : x
  2. Step 2: Convert to fraction form
    113,916/178,956 = 178,956/x
  3. Step 3: Cross multiply
    113,916x = 178,956 × 178,956
  4. Step 4: Simplify right side
    113,916x = 32,025,249,936
  5. Step 5: Solve for x
    x = 32,025,249,936/113,916
  6. Step 6: Final answer
    x = 281,130.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.