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Finding the Third Proportional to 86,040 and 184,533

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Solution

The third proportional to 86,040 and 184,533 is: 395,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,040 : 184,533 = 184,533 : x
  2. Step 2: Convert to fraction form
    86,040/184,533 = 184,533/x
  3. Step 3: Cross multiply
    86,040x = 184,533 × 184,533
  4. Step 4: Simplify right side
    86,040x = 34,052,428,089
  5. Step 5: Solve for x
    x = 34,052,428,089/86,040
  6. Step 6: Final answer
    x = 395,774.39

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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.