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Finding the Third Proportional to 86,590.50 and 179,985

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Solution

The third proportional to 86,590.50 and 179,985 is: 374,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,590.50 : 179,985 = 179,985 : x
  2. Step 2: Convert to fraction form
    86,590.50/179,985 = 179,985/x
  3. Step 3: Cross multiply
    86,590.50x = 179,985 × 179,985
  4. Step 4: Simplify right side
    86,590.50x = 32,394,600,225
  5. Step 5: Solve for x
    x = 32,394,600,225/86,590.50
  6. Step 6: Final answer
    x = 374,112.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.