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Finding the Third Proportional to 86,042.75 and 184,536

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Solution

The third proportional to 86,042.75 and 184,536 is: 395,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,042.75 : 184,536 = 184,536 : x
  2. Step 2: Convert to fraction form
    86,042.75/184,536 = 184,536/x
  3. Step 3: Cross multiply
    86,042.75x = 184,536 × 184,536
  4. Step 4: Simplify right side
    86,042.75x = 34,053,535,296
  5. Step 5: Solve for x
    x = 34,053,535,296/86,042.75
  6. Step 6: Final answer
    x = 395,774.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.