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Finding the Third Proportional to 113,013 and 166,063.50

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Solution

The third proportional to 113,013 and 166,063.50 is: 244,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,013 : 166,063.50 = 166,063.50 : x
  2. Step 2: Convert to fraction form
    113,013/166,063.50 = 166,063.50/x
  3. Step 3: Cross multiply
    113,013x = 166,063.50 × 166,063.50
  4. Step 4: Simplify right side
    113,013x = 27,577,086,032.25
  5. Step 5: Solve for x
    x = 27,577,086,032.25/113,013
  6. Step 6: Final answer
    x = 244,016.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.