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Finding the Third Proportional to 78,189.38 and 170,715.75

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Solution

The third proportional to 78,189.38 and 170,715.75 is: 372,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189.38 : 170,715.75 = 170,715.75 : x
  2. Step 2: Convert to fraction form
    78,189.38/170,715.75 = 170,715.75/x
  3. Step 3: Cross multiply
    78,189.38x = 170,715.75 × 170,715.75
  4. Step 4: Simplify right side
    78,189.38x = 29,143,867,298.06
  5. Step 5: Solve for x
    x = 29,143,867,298.06/78,189.38
  6. Step 6: Final answer
    x = 372,734.37

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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.