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Finding the Third Proportional to 50,301 and 80,149.50

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Solution

The third proportional to 50,301 and 80,149.50 is: 127,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301 : 80,149.50 = 80,149.50 : x
  2. Step 2: Convert to fraction form
    50,301/80,149.50 = 80,149.50/x
  3. Step 3: Cross multiply
    50,301x = 80,149.50 × 80,149.50
  4. Step 4: Simplify right side
    50,301x = 6,423,942,350.25
  5. Step 5: Solve for x
    x = 6,423,942,350.25/50,301
  6. Step 6: Final answer
    x = 127,710.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.