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Finding the Third Proportional to 117,012.75 and 167,207

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Solution

The third proportional to 117,012.75 and 167,207 is: 238,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,012.75 : 167,207 = 167,207 : x
  2. Step 2: Convert to fraction form
    117,012.75/167,207 = 167,207/x
  3. Step 3: Cross multiply
    117,012.75x = 167,207 × 167,207
  4. Step 4: Simplify right side
    117,012.75x = 27,958,180,849
  5. Step 5: Solve for x
    x = 27,958,180,849/117,012.75
  6. Step 6: Final answer
    x = 238,932.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.