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Finding the Third Proportional to 39,167.75 and 80,409

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Solution

The third proportional to 39,167.75 and 80,409 is: 165,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,167.75 : 80,409 = 80,409 : x
  2. Step 2: Convert to fraction form
    39,167.75/80,409 = 80,409/x
  3. Step 3: Cross multiply
    39,167.75x = 80,409 × 80,409
  4. Step 4: Simplify right side
    39,167.75x = 6,465,607,281
  5. Step 5: Solve for x
    x = 6,465,607,281/39,167.75
  6. Step 6: Final answer
    x = 165,074.77

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.