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Finding the Third Proportional to 50,301 and 84,685.50

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Solution

The third proportional to 50,301 and 84,685.50 is: 142,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301 : 84,685.50 = 84,685.50 : x
  2. Step 2: Convert to fraction form
    50,301/84,685.50 = 84,685.50/x
  3. Step 3: Cross multiply
    50,301x = 84,685.50 × 84,685.50
  4. Step 4: Simplify right side
    50,301x = 7,171,633,910.25
  5. Step 5: Solve for x
    x = 7,171,633,910.25/50,301
  6. Step 6: Final answer
    x = 142,574.38

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.