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Finding the Third Proportional to 76,404 and 165,098

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Solution

The third proportional to 76,404 and 165,098 is: 356,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,404 : 165,098 = 165,098 : x
  2. Step 2: Convert to fraction form
    76,404/165,098 = 165,098/x
  3. Step 3: Cross multiply
    76,404x = 165,098 × 165,098
  4. Step 4: Simplify right side
    76,404x = 27,257,349,604
  5. Step 5: Solve for x
    x = 27,257,349,604/76,404
  6. Step 6: Final answer
    x = 356,752.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.