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Finding the Third Proportional to 35,125 and 76,081

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Solution

The third proportional to 35,125 and 76,081 is: 164,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,125 : 76,081 = 76,081 : x
  2. Step 2: Convert to fraction form
    35,125/76,081 = 76,081/x
  3. Step 3: Cross multiply
    35,125x = 76,081 × 76,081
  4. Step 4: Simplify right side
    35,125x = 5,788,318,561
  5. Step 5: Solve for x
    x = 5,788,318,561/35,125
  6. Step 6: Final answer
    x = 164,791.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.