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Finding the Third Proportional to 55,708.50 and 91,450.50

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Solution

The third proportional to 55,708.50 and 91,450.50 is: 150,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,708.50 : 91,450.50 = 91,450.50 : x
  2. Step 2: Convert to fraction form
    55,708.50/91,450.50 = 91,450.50/x
  3. Step 3: Cross multiply
    55,708.50x = 91,450.50 × 91,450.50
  4. Step 4: Simplify right side
    55,708.50x = 8,363,193,950.25
  5. Step 5: Solve for x
    x = 8,363,193,950.25/55,708.50
  6. Step 6: Final answer
    x = 150,124.20

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.