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Finding the Third Proportional to 29,998 and 65,174

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Solution

The third proportional to 29,998 and 65,174 is: 141,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,998 : 65,174 = 65,174 : x
  2. Step 2: Convert to fraction form
    29,998/65,174 = 65,174/x
  3. Step 3: Cross multiply
    29,998x = 65,174 × 65,174
  4. Step 4: Simplify right side
    29,998x = 4,247,650,276
  5. Step 5: Solve for x
    x = 4,247,650,276/29,998
  6. Step 6: Final answer
    x = 141,597.78

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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.