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Finding the Third Proportional to 94,191 and 132,010

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Solution

The third proportional to 94,191 and 132,010 is: 185,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,191 : 132,010 = 132,010 : x
  2. Step 2: Convert to fraction form
    94,191/132,010 = 132,010/x
  3. Step 3: Cross multiply
    94,191x = 132,010 × 132,010
  4. Step 4: Simplify right side
    94,191x = 17,426,640,100
  5. Step 5: Solve for x
    x = 17,426,640,100/94,191
  6. Step 6: Final answer
    x = 185,013.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.