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Finding the Third Proportional to 81,353.11 and 176,699.60

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Solution

The third proportional to 81,353.11 and 176,699.60 is: 383,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,353.11 : 176,699.60 = 176,699.60 : x
  2. Step 2: Convert to fraction form
    81,353.11/176,699.60 = 176,699.60/x
  3. Step 3: Cross multiply
    81,353.11x = 176,699.60 × 176,699.60
  4. Step 4: Simplify right side
    81,353.11x = 31,222,749,192.35
  5. Step 5: Solve for x
    x = 31,222,749,192.35/81,353.11
  6. Step 6: Final answer
    x = 383,792.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.