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Finding the Third Proportional to 79,896 and 174,091.50

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Solution

The third proportional to 79,896 and 174,091.50 is: 379,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,896 : 174,091.50 = 174,091.50 : x
  2. Step 2: Convert to fraction form
    79,896/174,091.50 = 174,091.50/x
  3. Step 3: Cross multiply
    79,896x = 174,091.50 × 174,091.50
  4. Step 4: Simplify right side
    79,896x = 30,307,850,372.25
  5. Step 5: Solve for x
    x = 30,307,850,372.25/79,896
  6. Step 6: Final answer
    x = 379,341.27

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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.