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Finding the Third Proportional to 86,067 and 184,585.50

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Solution

The third proportional to 86,067 and 184,585.50 is: 395,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,067 : 184,585.50 = 184,585.50 : x
  2. Step 2: Convert to fraction form
    86,067/184,585.50 = 184,585.50/x
  3. Step 3: Cross multiply
    86,067x = 184,585.50 × 184,585.50
  4. Step 4: Simplify right side
    86,067x = 34,071,806,810.25
  5. Step 5: Solve for x
    x = 34,071,806,810.25/86,067
  6. Step 6: Final answer
    x = 395,875.39

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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.