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Finding the Third Proportional to 119,758.50 and 184,132.50

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Solution

The third proportional to 119,758.50 and 184,132.50 is: 283,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,758.50 : 184,132.50 = 184,132.50 : x
  2. Step 2: Convert to fraction form
    119,758.50/184,132.50 = 184,132.50/x
  3. Step 3: Cross multiply
    119,758.50x = 184,132.50 × 184,132.50
  4. Step 4: Simplify right side
    119,758.50x = 33,904,777,556.25
  5. Step 5: Solve for x
    x = 33,904,777,556.25/119,758.50
  6. Step 6: Final answer
    x = 283,109.57

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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.