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Finding the Third Proportional to 49,972 and 74,201

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Solution

The third proportional to 49,972 and 74,201 is: 110,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,972 : 74,201 = 74,201 : x
  2. Step 2: Convert to fraction form
    49,972/74,201 = 74,201/x
  3. Step 3: Cross multiply
    49,972x = 74,201 × 74,201
  4. Step 4: Simplify right side
    49,972x = 5,505,788,401
  5. Step 5: Solve for x
    x = 5,505,788,401/49,972
  6. Step 6: Final answer
    x = 110,177.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.