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Finding the Third Proportional to 78,806.50 and 171,009

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Solution

The third proportional to 78,806.50 and 171,009 is: 371,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,806.50 : 171,009 = 171,009 : x
  2. Step 2: Convert to fraction form
    78,806.50/171,009 = 171,009/x
  3. Step 3: Cross multiply
    78,806.50x = 171,009 × 171,009
  4. Step 4: Simplify right side
    78,806.50x = 29,244,078,081
  5. Step 5: Solve for x
    x = 29,244,078,081/78,806.50
  6. Step 6: Final answer
    x = 371,087.13

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