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Finding the Third Proportional to 73,525.50 and 109,993.50

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Solution

The third proportional to 73,525.50 and 109,993.50 is: 164,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,525.50 : 109,993.50 = 109,993.50 : x
  2. Step 2: Convert to fraction form
    73,525.50/109,993.50 = 109,993.50/x
  3. Step 3: Cross multiply
    73,525.50x = 109,993.50 × 109,993.50
  4. Step 4: Simplify right side
    73,525.50x = 12,098,570,042.25
  5. Step 5: Solve for x
    x = 12,098,570,042.25/73,525.50
  6. Step 6: Final answer
    x = 164,549.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.