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Finding the Third Proportional to 35,061.75 and 75,147

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Solution

The third proportional to 35,061.75 and 75,147 is: 161,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,061.75 : 75,147 = 75,147 : x
  2. Step 2: Convert to fraction form
    35,061.75/75,147 = 75,147/x
  3. Step 3: Cross multiply
    35,061.75x = 75,147 × 75,147
  4. Step 4: Simplify right side
    35,061.75x = 5,647,071,609
  5. Step 5: Solve for x
    x = 5,647,071,609/35,061.75
  6. Step 6: Final answer
    x = 161,060.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.