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Finding the Third Proportional to 71,659.50 and 110,243.25

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Solution

The third proportional to 71,659.50 and 110,243.25 is: 169,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659.50 : 110,243.25 = 110,243.25 : x
  2. Step 2: Convert to fraction form
    71,659.50/110,243.25 = 110,243.25/x
  3. Step 3: Cross multiply
    71,659.50x = 110,243.25 × 110,243.25
  4. Step 4: Simplify right side
    71,659.50x = 12,153,574,170.56
  5. Step 5: Solve for x
    x = 12,153,574,170.56/71,659.50
  6. Step 6: Final answer
    x = 169,601.72

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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.