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Finding the Third Proportional to 111,412.50 and 164,661

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Solution

The third proportional to 111,412.50 and 164,661 is: 243,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,412.50 : 164,661 = 164,661 : x
  2. Step 2: Convert to fraction form
    111,412.50/164,661 = 164,661/x
  3. Step 3: Cross multiply
    111,412.50x = 164,661 × 164,661
  4. Step 4: Simplify right side
    111,412.50x = 27,113,244,921
  5. Step 5: Solve for x
    x = 27,113,244,921/111,412.50
  6. Step 6: Final answer
    x = 243,359.09

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.