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Finding the Third Proportional to 128,061 and 185,010.75

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Solution

The third proportional to 128,061 and 185,010.75 is: 267,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,061 : 185,010.75 = 185,010.75 : x
  2. Step 2: Convert to fraction form
    128,061/185,010.75 = 185,010.75/x
  3. Step 3: Cross multiply
    128,061x = 185,010.75 × 185,010.75
  4. Step 4: Simplify right side
    128,061x = 34,228,977,615.56
  5. Step 5: Solve for x
    x = 34,228,977,615.56/128,061
  6. Step 6: Final answer
    x = 267,286.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.