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Finding the Third Proportional to 50,123.25 and 108,427.50

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Solution

The third proportional to 50,123.25 and 108,427.50 is: 234,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,123.25 : 108,427.50 = 108,427.50 : x
  2. Step 2: Convert to fraction form
    50,123.25/108,427.50 = 108,427.50/x
  3. Step 3: Cross multiply
    50,123.25x = 108,427.50 × 108,427.50
  4. Step 4: Simplify right side
    50,123.25x = 11,756,522,756.25
  5. Step 5: Solve for x
    x = 11,756,522,756.25/50,123.25
  6. Step 6: Final answer
    x = 234,552.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.