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Finding the Third Proportional to 50,871.75 and 80,614.50

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Solution

The third proportional to 50,871.75 and 80,614.50 is: 127,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871.75 : 80,614.50 = 80,614.50 : x
  2. Step 2: Convert to fraction form
    50,871.75/80,614.50 = 80,614.50/x
  3. Step 3: Cross multiply
    50,871.75x = 80,614.50 × 80,614.50
  4. Step 4: Simplify right side
    50,871.75x = 6,498,697,610.25
  5. Step 5: Solve for x
    x = 6,498,697,610.25/50,871.75
  6. Step 6: Final answer
    x = 127,746.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.