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Finding the Third Proportional to 79,665 and 173,822.25

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Solution

The third proportional to 79,665 and 173,822.25 is: 379,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,665 : 173,822.25 = 173,822.25 : x
  2. Step 2: Convert to fraction form
    79,665/173,822.25 = 173,822.25/x
  3. Step 3: Cross multiply
    79,665x = 173,822.25 × 173,822.25
  4. Step 4: Simplify right side
    79,665x = 30,214,174,595.06
  5. Step 5: Solve for x
    x = 30,214,174,595.06/79,665
  6. Step 6: Final answer
    x = 379,265.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.