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Finding the Third Proportional to 50,225.50 and 68,869.50

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Solution

The third proportional to 50,225.50 and 68,869.50 is: 94,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,225.50 : 68,869.50 = 68,869.50 : x
  2. Step 2: Convert to fraction form
    50,225.50/68,869.50 = 68,869.50/x
  3. Step 3: Cross multiply
    50,225.50x = 68,869.50 × 68,869.50
  4. Step 4: Simplify right side
    50,225.50x = 4,743,008,030.25
  5. Step 5: Solve for x
    x = 4,743,008,030.25/50,225.50
  6. Step 6: Final answer
    x = 94,434.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.