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Finding the Third Proportional to 34,186 and 74,201

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Solution

The third proportional to 34,186 and 74,201 is: 161,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186 : 74,201 = 74,201 : x
  2. Step 2: Convert to fraction form
    34,186/74,201 = 74,201/x
  3. Step 3: Cross multiply
    34,186x = 74,201 × 74,201
  4. Step 4: Simplify right side
    34,186x = 5,505,788,401
  5. Step 5: Solve for x
    x = 5,505,788,401/34,186
  6. Step 6: Final answer
    x = 161,053.89

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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.