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Finding the Third Proportional to 88,103.25 and 171,769.50

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Solution

The third proportional to 88,103.25 and 171,769.50 is: 334,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,103.25 : 171,769.50 = 171,769.50 : x
  2. Step 2: Convert to fraction form
    88,103.25/171,769.50 = 171,769.50/x
  3. Step 3: Cross multiply
    88,103.25x = 171,769.50 × 171,769.50
  4. Step 4: Simplify right side
    88,103.25x = 29,504,761,130.25
  5. Step 5: Solve for x
    x = 29,504,761,130.25/88,103.25
  6. Step 6: Final answer
    x = 334,888.45

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.