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Finding the Third Proportional to 86,514.75 and 185,960.25

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Solution

The third proportional to 86,514.75 and 185,960.25 is: 399,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,514.75 : 185,960.25 = 185,960.25 : x
  2. Step 2: Convert to fraction form
    86,514.75/185,960.25 = 185,960.25/x
  3. Step 3: Cross multiply
    86,514.75x = 185,960.25 × 185,960.25
  4. Step 4: Simplify right side
    86,514.75x = 34,581,214,580.06
  5. Step 5: Solve for x
    x = 34,581,214,580.06/86,514.75
  6. Step 6: Final answer
    x = 399,714.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.