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Finding the Third Proportional to 71,667 and 110,254

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Solution

The third proportional to 71,667 and 110,254 is: 169,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,667 : 110,254 = 110,254 : x
  2. Step 2: Convert to fraction form
    71,667/110,254 = 110,254/x
  3. Step 3: Cross multiply
    71,667x = 110,254 × 110,254
  4. Step 4: Simplify right side
    71,667x = 12,155,944,516
  5. Step 5: Solve for x
    x = 12,155,944,516/71,667
  6. Step 6: Final answer
    x = 169,617.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.