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Finding the Third Proportional to 57,674 and 85,174

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Solution

The third proportional to 57,674 and 85,174 is: 125,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,674 : 85,174 = 85,174 : x
  2. Step 2: Convert to fraction form
    57,674/85,174 = 85,174/x
  3. Step 3: Cross multiply
    57,674x = 85,174 × 85,174
  4. Step 4: Simplify right side
    57,674x = 7,254,610,276
  5. Step 5: Solve for x
    x = 7,254,610,276/57,674
  6. Step 6: Final answer
    x = 125,786.49

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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.