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Finding the Third Proportional to 89,050.50 and 137,922.75

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Solution

The third proportional to 89,050.50 and 137,922.75 is: 213,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,050.50 : 137,922.75 = 137,922.75 : x
  2. Step 2: Convert to fraction form
    89,050.50/137,922.75 = 137,922.75/x
  3. Step 3: Cross multiply
    89,050.50x = 137,922.75 × 137,922.75
  4. Step 4: Simplify right side
    89,050.50x = 19,022,684,967.56
  5. Step 5: Solve for x
    x = 19,022,684,967.56/89,050.50
  6. Step 6: Final answer
    x = 213,616.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.