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Finding the Third Proportional to 86,010.75 and 182,470.50

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Solution

The third proportional to 86,010.75 and 182,470.50 is: 387,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,010.75 : 182,470.50 = 182,470.50 : x
  2. Step 2: Convert to fraction form
    86,010.75/182,470.50 = 182,470.50/x
  3. Step 3: Cross multiply
    86,010.75x = 182,470.50 × 182,470.50
  4. Step 4: Simplify right side
    86,010.75x = 33,295,483,370.25
  5. Step 5: Solve for x
    x = 33,295,483,370.25/86,010.75
  6. Step 6: Final answer
    x = 387,108.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.