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Finding the Third Proportional to 54,085 and 74,201

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Solution

The third proportional to 54,085 and 74,201 is: 101,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,085 : 74,201 = 74,201 : x
  2. Step 2: Convert to fraction form
    54,085/74,201 = 74,201/x
  3. Step 3: Cross multiply
    54,085x = 74,201 × 74,201
  4. Step 4: Simplify right side
    54,085x = 5,505,788,401
  5. Step 5: Solve for x
    x = 5,505,788,401/54,085
  6. Step 6: Final answer
    x = 101,798.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.