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Finding the Third Proportional to 118,044 and 184,126.50

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Solution

The third proportional to 118,044 and 184,126.50 is: 287,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,044 : 184,126.50 = 184,126.50 : x
  2. Step 2: Convert to fraction form
    118,044/184,126.50 = 184,126.50/x
  3. Step 3: Cross multiply
    118,044x = 184,126.50 × 184,126.50
  4. Step 4: Simplify right side
    118,044x = 33,902,568,002.25
  5. Step 5: Solve for x
    x = 33,902,568,002.25/118,044
  6. Step 6: Final answer
    x = 287,202.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.