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Finding the Third Proportional to 50,434.50 and 68,529.50

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Solution

The third proportional to 50,434.50 and 68,529.50 is: 93,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,434.50 : 68,529.50 = 68,529.50 : x
  2. Step 2: Convert to fraction form
    50,434.50/68,529.50 = 68,529.50/x
  3. Step 3: Cross multiply
    50,434.50x = 68,529.50 × 68,529.50
  4. Step 4: Simplify right side
    50,434.50x = 4,696,292,370.25
  5. Step 5: Solve for x
    x = 4,696,292,370.25/50,434.50
  6. Step 6: Final answer
    x = 93,116.66

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.