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Finding the Third Proportional to 115,297.50 and 147,323.25

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Solution

The third proportional to 115,297.50 and 147,323.25 is: 188,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,297.50 : 147,323.25 = 147,323.25 : x
  2. Step 2: Convert to fraction form
    115,297.50/147,323.25 = 147,323.25/x
  3. Step 3: Cross multiply
    115,297.50x = 147,323.25 × 147,323.25
  4. Step 4: Simplify right side
    115,297.50x = 21,704,139,990.56
  5. Step 5: Solve for x
    x = 21,704,139,990.56/115,297.50
  6. Step 6: Final answer
    x = 188,244.67

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.