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Finding the Third Proportional to 120,174 and 184,817

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Solution

The third proportional to 120,174 and 184,817 is: 284,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,174 : 184,817 = 184,817 : x
  2. Step 2: Convert to fraction form
    120,174/184,817 = 184,817/x
  3. Step 3: Cross multiply
    120,174x = 184,817 × 184,817
  4. Step 4: Simplify right side
    120,174x = 34,157,323,489
  5. Step 5: Solve for x
    x = 34,157,323,489/120,174
  6. Step 6: Final answer
    x = 284,232.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.