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Finding the Third Proportional to 111,520.50 and 158,967

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Solution

The third proportional to 111,520.50 and 158,967 is: 226,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,520.50 : 158,967 = 158,967 : x
  2. Step 2: Convert to fraction form
    111,520.50/158,967 = 158,967/x
  3. Step 3: Cross multiply
    111,520.50x = 158,967 × 158,967
  4. Step 4: Simplify right side
    111,520.50x = 25,270,507,089
  5. Step 5: Solve for x
    x = 25,270,507,089/111,520.50
  6. Step 6: Final answer
    x = 226,599.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.