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Finding the Third Proportional to 113,012 and 166,014

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Solution

The third proportional to 113,012 and 166,014 is: 243,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,012 : 166,014 = 166,014 : x
  2. Step 2: Convert to fraction form
    113,012/166,014 = 166,014/x
  3. Step 3: Cross multiply
    113,012x = 166,014 × 166,014
  4. Step 4: Simplify right side
    113,012x = 27,560,648,196
  5. Step 5: Solve for x
    x = 27,560,648,196/113,012
  6. Step 6: Final answer
    x = 243,873.64

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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.