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Finding the Third Proportional to 76,717.75 and 103,197.75

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Solution

The third proportional to 76,717.75 and 103,197.75 is: 138,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,717.75 : 103,197.75 = 103,197.75 : x
  2. Step 2: Convert to fraction form
    76,717.75/103,197.75 = 103,197.75/x
  3. Step 3: Cross multiply
    76,717.75x = 103,197.75 × 103,197.75
  4. Step 4: Simplify right side
    76,717.75x = 10,649,775,605.06
  5. Step 5: Solve for x
    x = 10,649,775,605.06/76,717.75
  6. Step 6: Final answer
    x = 138,817.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.